#17 Week 8: Unit 1 Characteristics of Functions Test Review Due 9/30/20

Essential Question: What concepts do I need to know to be successful on the test?

Learning Target: Students will be able to recognize the characteristics of functions and graph and solve absolute value functions.

Show your work for credit.

Monday 9/28/20 Part 1

10

Use the graph to create a function with the following features:
1) As x gets smaller; the function approaches infinity. x→ -∞ ; f(x)→ ∞
2) The graph of the function passes through the x-axis at 5
3) As x gets larger; the function approaches negative infinity. x→ ∞ ; f(x)→ -∞

2

For what interval of x is the function f(x) increasing?

[-2,0]

[-2,-1]

[0,1]

[0,2]

2

For what interval of x is the function f(x) decreasing?

[4,7]

[2,5]

[3,4]

[0,2]

2

For what interval of x
is the function f(x) negative?

[-3,0]

[-1,2]

[3,4]

[0,2]

2

For what interval of x is the function f(x) positive?

[0,3]

[-2,-1]

[-1,1]

[1,3]

5

Use interval notation to describe the domain of this function.

5

Use interval notation to describe the range of this function.

10

Simplify:

null

5

Use desmos to graph each function and find its vertex.

5

Use desmos to graph each function and find its vertex.

null

2

What is the equation for the translation of y = 2|x+2|+ 4, 6 units down?

y = 2|x+2|- 2

y = 2|x+2|- 10

y = 2|x - 4|+ 4

y = 2|x+2| +10

F.BF.3

2

What is the equation for the translation of y = 2|x+2|+ 4, 5 units up?

y = 2|x+2|+ 9

y = 2|x - 3|+ 4

y = 2|x+7| + 4

y = 2|x+2|- 1

F.BF.3

null

2

What is the equation for the translation of y = |x - 3|+ 4 , 7 units left?

y = |x - 3| - 3

y = |x - 10|+ 4

y = |x - 3|+ 11

y = |x + 4|+ 4

F.BF.3

2

What is the equation for the translation of y = |x - 3|+ 4 , 4 units right?

y = |x + 4|+ 8

y = |x - 3|

y = |x - 7|+ 4

y = |x +1 |+ 11

F.BF.3

null

5

Compress the function y = |x - 3|+ 4 by a factor of 3.

F.BF.3

5

Stretch the function y = |x - 3|+ 4 by a factor of 5.

F.BF.3

5

What is the vertex of the function:

5

Based of the parent function, f(x)=|x|,
is this function stretched or compressed by a factor 3?

2

Based on the above example of reflection.
How does the "v" graph the of y = - 2|x | open?

The graph of y = - 2|x | opens downward because a=-2

null

The graph of y = - 2|x | opens upward because a=-2

null

F.BF.3

2

Based on the above example of reflection.
How does the "v" graph the of y = ½|x | open?

The graph of y = - 2|x | opens upward because a=½

null

The graph of y = - 2|x | opens downward because a=½

null

F.BF.3

10

Graph the absolute value function:
Be sure to label the vertex and use it as the center of your graph.

F.BF.3

Tuesday 9/29/20 Part 2

5

What is the vertex of the function:

2

Is this an open or closed interval?

Both

Open (not equal to; not included)

Closed (equal to; including)

2

Is this an open or closed interval?

Open (not equal to; not included)

Closed (equal to; including)

Both

2

The definition of absolute value is...

the farthest a number can be from zero.

the distance a number is from zero.

the distance a number is above zero.

the distance a number is below zero.

10

Solve the absolute value equation:

10

Solve the absolute value equation:

10

Solve the absolute value equation:

10

Solve the inequality. Then graph your solution.
Include all relevant graph detail.

A.REI.3

10

Solve the inequality. Then graph your solution.
Include all relevant graph detail.

A.REI.3

10

Solve the inequality. Then graph your solution.
Include all relevant graph detail.

A.REI.3

#17 Week 8: Unit 1 Characteristics of Functions Test Review Due 9/30/20

Monday 9/28/20 Part 1

Tuesday 9/29/20 Part 2

#17 Week 8: Unit 1 Characteristics of Functions Test Review Due 9/30/20

#17 Week 8: Unit 1 Characteristics of Functions Test Review Due 9/30/20

Essential Question: What concepts do I need to know to be successful on the test?

Learning Target: Students will be able to recognize the characteristics of functions and graph and solve absolute value functions.

Show your work for credit.

Monday 9/28/20 Part 1

Use the graph to create a function with the following features:1) As x gets smaller; the function approaches infinity. x→ -∞ ; f(x)→ ∞2) The graph of the function passes through the x-axis at 53) As x gets larger; the function approaches negative infinity. x→ ∞ ; f(x)→ -∞

Use the graph to create a function with the following features:

For what interval of x is the function f(x) increasing?

For what interval of x is the function f(x) decreasing?

For what interval of x is the function f(x) negative?

For what interval of x is the function f(x) positive?

Use interval notation to describe the domain of this function.

Use interval notation to describe the range of this function.

Simplify:

Use desmos to graph each function and find its vertex.

Use desmos to graph each function and find its vertex.

What is the equation for the translation of y = 2|x+2|+ 4, 6 units down?

What is the equation for the translation of y = 2|x+2|+ 4, 5 units up?

What is the equation for the translation of y = |x - 3|+ 4 , 7 units left?

What is the equation for the translation of y = |x - 3|+ 4 , 4 units right?

Compress the function y = |x - 3|+ 4 by a factor of 3.

Stretch the function y = |x - 3|+ 4 by a factor of 5.

What is the vertex of the function:

Based of the parent function, f(x)=|x|, is this function stretched or compressed by a factor 3?

Based on the above example of reflection.How does the "v" graph the of y = - 2|x | open?

Based on the above example of reflection.

Based on the above example of reflection.How does the "v" graph the of y = ½|x | open?

Based on the above example of reflection.

Graph the absolute value function:Be sure to label the vertex and use it as the center of your graph.

Be sure to label the vertex and use it as the center of your graph.

Tuesday 9/29/20 Part 2

What is the vertex of the function:

Is this an open or closed interval?

Is this an open or closed interval?

The definition of absolute value is...

Solve the absolute value equation:

Solve the absolute value equation:

Solve the absolute value equation:

Solve the inequality. Then graph your solution.Include all relevant graph detail.

Solve the inequality. Then graph your solution.Include all relevant graph detail.

Solve the inequality. Then graph your solution.Include all relevant graph detail.

#17 Week 8: Unit 1 Characteristics of Functions Test Review Due 9/30/20

Essential Question: What concepts do I need to know to be successful on the test?

Learning Target: Students will be able to recognize the characteristics of functions and graph and solve absolute value functions.

Show your work for credit.

Use the graph to create a function with the following features:1) As x gets smaller; the function approaches infinity. x→ -∞ ; f(x)→ ∞2) The graph of the function passes through the x-axis at 53) As x gets larger; the function approaches negative infinity. x→ ∞ ; f(x)→ -∞

Use the graph to create a function with the following features:

For what interval of x is the function f(x) increasing?

For what interval of x is the function f(x) decreasing?

For what interval of x is the function f(x) negative?

For what interval of x is the function f(x) positive?

Use interval notation to describe the domain of this function.

Use interval notation to describe the range of this function.

Simplify:

Use desmos to graph each function and find its vertex.

Use desmos to graph each function and find its vertex.

What is the equation for the translation of y = 2|x+2|+ 4, 6 units down?

What is the equation for the translation of y = 2|x+2|+ 4, 5 units up?

What is the equation for the translation of y = |x - 3|+ 4 , 7 units left?

What is the equation for the translation of y = |x - 3|+ 4 , 4 units right?

Compress the function y = |x - 3|+ 4 by a factor of 3.

Stretch the function y = |x - 3|+ 4 by a factor of 5.

What is the vertex of the function:

Based of the parent function, f(x)=|x|, is this function stretched or compressed by a factor 3?

Based on the above example of reflection.How does the "v" graph the of y = - 2|x | open?

Based on the above example of reflection.

Based on the above example of reflection.How does the "v" graph the of y = ½|x | open?

Based on the above example of reflection.

Graph the absolute value function:Be sure to label the vertex and use it as the center of your graph.

Be sure to label the vertex and use it as the center of your graph.

What is the vertex of the function:

Is this an open or closed interval?

Is this an open or closed interval?

The definition of absolute value is...

Solve the absolute value equation:

Solve the absolute value equation:

Use the graph to create a function with the following features:
1) As x gets smaller; the function approaches infinity. x→ -∞ ; f(x)→ ∞
2) The graph of the function passes through the x-axis at 5
3) As x gets larger; the function approaches negative infinity. x→ ∞ ; f(x)→ -∞

For what interval of x
is the function f(x) negative?

Based of the parent function, f(x)=|x|,
is this function stretched or compressed by a factor 3?

Based on the above example of reflection.
How does the "v" graph the of y = - 2|x | open?

Based on the above example of reflection.
How does the "v" graph the of y = ½|x | open?

Graph the absolute value function:
Be sure to label the vertex and use it as the center of your graph.

Solve the inequality. Then graph your solution.
Include all relevant graph detail.

Solve the inequality. Then graph your solution.
Include all relevant graph detail.

Solve the inequality. Then graph your solution.
Include all relevant graph detail.

Use the graph to create a function with the following features:
1) As x gets smaller; the function approaches infinity. x→ -∞ ; f(x)→ ∞
2) The graph of the function passes through the x-axis at 5
3) As x gets larger; the function approaches negative infinity. x→ ∞ ; f(x)→ -∞

For what interval of x
is the function f(x) negative?

Based of the parent function, f(x)=|x|,
is this function stretched or compressed by a factor 3?

Based on the above example of reflection.
How does the "v" graph the of y = - 2|x | open?

Based on the above example of reflection.
How does the "v" graph the of y = ½|x | open?

Graph the absolute value function:
Be sure to label the vertex and use it as the center of your graph.

Solve the inequality. Then graph your solution.
Include all relevant graph detail.

Solve the inequality. Then graph your solution.
Include all relevant graph detail.

Solve the inequality. Then graph your solution.
Include all relevant graph detail.