The table shows values for a function $$f$$ at selected values of $$x$$ . Which of the following claim and explanation statements best fit these data?

$$f$$ is best modeled by a quadratic function because the average rate of change over each interval is linear.

$$f$$ is best modeled by a linear function because the average rate of change over each interval is linear.

$$f$$ is best modeled by a linear function because the average rate of change over each interval is constant.

$$f$$ is best modeled by a quadratic function because the average rate of change over each interval is constant.

The table shows values for a function $$g$$ at selected values of $$x$$ . Which of the following claim and explanation statements best fit these data?

$$g$$ is best modeled by a linear function because the rate of change over consecutive equal-length input-value intervals is constant.

$$g$$ is best modeled by a linear function because change in the average rates of change over consecutive equal-length input-value intervals is constant.

$$g$$ is best modeled by a quadratic function because the rate of change over consecutive equal-length input-value intervals is constant.

$$g$$ is best modeled by a quadratic function because the change in the average rates of change over consecutive equal-length input-value intervals is constant.

The table shows values for a function $$k$$ at selected values of $$x$$ . Which of the following claim and explanation statements best fit these data?

The graph of $$k$$ could be concave down because the average rates of change over consecutive equal-length input-value intervals are decreasing.

The graph of $$k$$ could be concave up because the average rates of change over consecutive equal-length input-value intervals are positive.

The graph of $$k$$ could be concave up because the average rates of change over consecutive equal-length input-value intervals are increasing.

The graph of $$k$$ could be concave down because the average rates of change over consecutive equal-length input-value intervals are negative.

The figure shows the graph of a function. Which of the following statements is correct?

the function is negative and increasing

the function is negative and decreasing

the function is positive and increasing

the function is positive and decreasing

The figure shows the graph of a function. Which of the following statements is correct?

the rate of change is positive is decreasing

the rate of change is positive and increasing

the rate of change is negative and increasing

the rate of change is negative and decreasing

The figure shows the graph of a function. Which of the following statements is correct?

the function is positive and concave up

the function is negative and concave up

the function is positive and concave down

the function is negative and concave down

The figure shows the graph of a function. Which of the following statements is correct?

the function is decreasing at a decreasing rate

the function is decreasing at a increasing rate

the function is increasing at a decreasing rate

the function is increasing at a increasing rate

The average rate of change of $$f$$ over consecutive equal-length input-value intervals is positive and constant, which of the following statements about the graph of $$f$$ must be true?

the graph of $$f$$ could be a line with a positive slope

the graph of $$f$$ could be a line with a negative slope

the graph of $$f$$ could be a quadratic with an increasing rate of change

the graph of $$f$$ could be a quadratic with an decreasing rate of change

The average rate of change of $$f$$ over consecutive equal-length input-value intervals can be described as line with a negative slope, which of the following statements about the graph of $$f$$ must be true?

the graph of $$f$$ could be a quadratic with an decreasing rate of change

the graph of $$f$$ could be a line with a positive slope

the graph of $$f$$ could be a line with a negative slope

the graph of $$f$$ could be a quadratic with an increasing rate of change

APPC - U1A Quiz Review

Authored by Victoria Kiser

Mathematics

9th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

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interval from A to B

interval from B to C

interval from C to D

interval from D to E

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interval from A to B

interval from B to C

interval from C to D

interval from D to E

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point A

point B

point C

point D

point E

MULTIPLE CHOICE QUESTION

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point A

point B

point C

point D

point E

MULTIPLE CHOICE QUESTION

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