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Key Features of Functions Practice

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Questions and Answers

What is the domain of the function in graph 1?

(-8, 4)

(-∞, -8) U (4, ∞)

(-40, 40) (correct)

(-∞, -40) U (40, ∞)

What is the range of the function in graph 2?

(-2, 8)

(2, 8) (correct)

(-∞, ∞)

(-∞, 2) U (4, ∞)

What is the x-intercept of the function in graph 1?

-20

-8 (correct)

What is the y-intercept of the function in graph 2?

2 Signup and view all the answers

Over which interval is the function in graph 1 increasing?

no interval Signup and view all the answers

What is the average rate of change of the function in graph 1 over the interval [-5, 0]?

-20/5 Signup and view all the answers

What is the interval where the function in graph 1 is positive?

(-20, 40) Signup and view all the answers

What is the interval where the function in graph 2 is decreasing?

(-2, 0) Signup and view all the answers

Study Notes

Key Features of Functions

Function 1 has a domain of x = 40 and a range of y = 20.
The x-intercepts of function 1 are at x = -8, -4, 0, 4, and 8.
The y-intercept of function 1 is at y = -20.
Function 1 is positive on the interval -40 and negative on the interval not specified.
The function is increasing on the interval not specified and decreasing on the interval not specified.
The average rate of change of function 1 over the interval [-5, 0] is not specified.

Second Function

Function 2 has a domain of x = 8 and a range of y not specified.
The x-intercepts of function 2 are at x = 4.
The y-intercept of function 2 is at y = 2.
Function 2 is positive on the interval x and negative on the interval not specified.
The function is increasing on the interval not specified and decreasing on the interval not specified.
The average rate of change of function 2 over the interval [-2, 0] is not specified.