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1.2 Characteristics of Function Graphs (Due 10/1/24)

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13 questions
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Essential Question: What are some of the attributes of a function, and how are they related to the function’s graph?

Learning Target: Students will be able to describe the key features of the graphs of functions and use the graphs to make predictions about the data.

Show your work for full credit.


Day 1 10/1/24

Question 1
1.

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

1) As x gets smaller; the function gets larger. x→ - ∞; f(x)→ ∞
2) As x gets larger; the function gets larger. x→ ∞; f(x)→ ∞
3) The graph of the function passes through the x-axis at -3.

Question 2
2.

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

1) As x gets smaller; the function get larger. x→ - ∞; f(x)→ ∞
2) As x gets larger; the function get smaller. x→ ∞; f(x)→ - ∞
3) The graph of the function passes through the x-axis at -3.
4) The graph of the function passes through the x-axis at 0.

Question 3
3.

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

Question 4
4.

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

Question 5
5.

Identify one interval of (x) where the function f(x) positive.

Question 6
6.

Identify one interval of time (x) where the function f(x) decreasing.

Question 7
7.

Identify one interval of time (x) where the function f(x) increasing.

Question 8
8.

Identify one interval of x where the function f(x) increasing.

Question 9
9.

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

Spiral Review

Question 10
10.

Find the missing value of c.

Question 11
11.

Is this an open or closed interval?

Question 12
12.

Use interval notation to describe the domain of this function.

Question 13
13.

Simplify. Your answer should not have negative exponents.