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2.2 Function Application (Due 10/6/23 SoC)

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Last updated 15 days ago
40 questions
Note from the author:
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30
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10
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10
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10
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8
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12
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20
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20
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10
F.IF.1
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10
F.IF.1
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6
2
F.IF.1
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20
A.REI.10
F.IF.5
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5
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5
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8
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8
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8
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10
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10
Essential Question: What is function notation and what is it used for?

Learning Target: Students will be able to use function notation to evaluate functions that represent real-world functions.

Complete the entire assignment and show work for full credit.
Essential Question: What is function notation and what is it used for?

Learning Target: Students will be able to use function notation to evaluate functions that represent real-world functions.

Complete the entire assignment and show work for full credit.

Day 1 10/2/23

Throughout mathematics, we find function notation. Function notation is a way to write functions that is easy to read and understand. Functions have dependent and independent variables, and when we use function notation the independent variable is commonly x, and the dependent variable is f(x).

Question 1
1.

Complete the following notes regarding how to use function notation.

Question 2
2.

Evaluate each function for the given value.

Question 3
3.

Evaluate each function for the given value.

Question 4
4.

Evaluate each function for the given value.

Question 5
5.

Evaluate each function for the given value.

Question 6
6.

Evaluate each function for the given value.

For questions 8-11, use the functions to the left.

Required
10
Question 7
7.

Evaluate each function for the given value.

Required
10
Required
10
Required
10
Question 11
11.

Anthropologists use the length of certain bones of the human skeleton to estimate the height of the living person. One of these bones is the femur. To estimate the height in centimeters of a female with a femur length of x, the function h(x) = 61.41 + 2.32x can be used. If a 46 cm femur bone is discovered at a dig site, using the height function, estimate how tall the person was that bone belonged to.

Spiral Review

Question 12
12.

Categorize each representation of a relation on the left based on its type.

  • \{(3,-9),(11,21),(121,34),(34,1)\}
Question 13
13.

Classify each item on the left based on whether it describes the domain or range of a relation.

  • The y-values of a relation (usually)
  • The output values of a relation
  • The input values of a relation
Question 14
14.

Directions: Complete each function table, then graph the function.


Question 15
15.

Directions: Complete each function table, then graph the function.


Day 2 10/3/23

Spiral Review

Question 16
16.

Drag the values from the left to identify the domain and range of the relation.
Place each value only once.

  • -2
  • 4
Question 17
17.

Consider the relation {(-2, -3), (-1, 4), (0, 5), (1, 6)}.

Represent the relation with a mapping diagram. Remember to label the domain and range in your diagram.

Question 18
18.

Vocabulary Review: A function is a relationship that pairs each input value with exactly one output value. Categorize each relationship.

  • Relation B
  • Relation A
  • Relation C
  • Function
  • Not a function
Question 19
19.

What is f(2) for the function f(x) = 4x + 1?


Required
10
Question 20
20.

Use the function w(x) = 250x, which represents the average number of words a person can read in one minute to determine many words the average person can read in 6 minutes. Enter only a number.


Question 21
21.

Graph the function rule.


The amount of water w in a wading pool, in gallons, depends on the amount of time t, in minutes, the wading pool has been filling, as related by the function rule w = 3t.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.


Spiral Review

Question 22
22.

Translate this expression.

“eighteen less than a number”

Question 23
23.

Translate this expression.

“the difference of a number and 4"

Question 24
24.

Question 25
25.

Question 26
26.

Question 27
27.

Question 28
28.

Directions: Give the perimeter of each figure as a simplified expression.

Question 29
29.

Directions: Give the perimeter of each figure as a simplified expression.

Question 30
30.

Evaluate each expression using the variable replacements.


Evaluating Expressions

Question 31
31.

Evaluate each expression using the variable replacements.


Question 32
32.

Match the operation with its inverse.

Draggable itemarrow_right_altCorresponding Item
inverse of addition
arrow_right_alt
subtraction
inverse of subtraction
arrow_right_alt
addition
inverse of multiplication
arrow_right_alt
arrow_right_alt
Question 33
33.

To solve an equation we need to undo operations to isolate a variable. So, we need to undo PEMDAS. This means we need to work in a different order.

Put these operations in the order by which you perform them to solve an equation. (first to last)

  1. addition and subtraction (outside parentheses)
  2. multiplication and division
  3. parentheses ( )
Question 34
34.

Put the steps to solving this equation in the right order.

  1. divide both sides of the equation by 3
  2. add 7 to both sides of the equation
  3. the result is x=7
  4. Before we start solving, we identify the variable a, so we can solve for it the variable
Question 35
35.

Solve this equation.


Question 36
36.

Put the steps in the correct order to solve this multistep equation.


  1. Check the solution by evaluating the original expression -4(7a+5) to verify that it equals -160
  2. The solution is a = 5
  3. undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140
  4. Use distribution to multiply (7a+5) by -4 to get -28a - 20
  5. undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5
Question 37
37.

Solve this multi-step equation. Show your work (SYW)

Question 38
38.

Solve this equation

Question 39
39.

Solve each proportion. Show your work! Or suffer the consequences...


Question 40
40.

Solve and graph the inequality for the given variable.

Day 3 10/4/22

Arithmetic Sequences

Question 8
8.

Evaluate each function for the given value.

Question 9
9.

Evaluate each function for the given value.

Question 10
10.

Evaluate each function for the given value.

Ordered Pairs
Mapping Diagram
Table of Values
Graph
Represented on the horizontal axis of a coordinate plane
The x-values of a relation (usually)
Represented on the vertical axis of a coordinate plane
Domain
Range
7
1
-7
2
-4
-1
Domain
Range
43
Which words or phrases have the same meaning as addition?
more than
increased by
split
how many groups of_____ are in_____
less than
together
total
multiply
groups of
product
Which words or phrases have the same meaning as subtraction?
together
product
difference
decreased by
how many groups of_____ are in_____
less than
increased by
___ groups of ___
the distance between
groups of
multiply
Which words or phrases have the same meaning as division?
how many groups of_____ are in_____
minus
less than
product
more than
split in half
increased by
multiply
put into four equal parts
total
divide
Which words or phrases have the same meaning as multiplication?
times
divide
product
of
less than
together
total
minus
more than
plus
___ groups of ___
division
inverse of division
multiplication