Quiz about Quadratic Increasing and Decreasing Intervals

Question 1

What is the decreasing interval on the function shown?

Accepted Answer

$$\left(2,\ \infty\right)$$

Answer

$$\left(-\infty,\ 1\right)$$

Answer

$$\left(-\infty,\ 2\right)$$

Answer

$$\left(1,\ \infty\right)$$

Question 2

f(x) = 3x² + 5x - 9

Accepted Answer

UP and UP

Answer

DOWN and DOWN

Answer

UP and DOWN

Answer

DOWN and UP

Question 3

f(x) = -3x² - 5x + 12

Accepted Answer

DOWN and DOWN

Answer

UP and UP

Answer

UP and DOWN

Answer

DOWN and UP

Question 4

What are the increasing intervals?

Accepted Answer

$$\left(-\infty,1\right)\ \cup\left(3,\infty\right)$$

Answer

$$\left(-\infty,\ \infty\right)$$

Answer

$$\left(1,3\right)$$

Answer

$$x=3$$

Question 5

The graph of the function $$f$$ is shown. The extrema for $$f$$ are labeled where A, B, C, D, and E represent the $$x$$ -coordinates at those points.

On which of the following intervals is the rate of change of $$f$$ negative and decreasing?

Accepted Answer

interval from B to C

Answer

interval from A to B

Answer

interval from C to D

Answer

interval from D to E

Question 6

The graph of the function $$f$$ is shown. The extrema for $$f$$ are labeled where A, B, C, D, and E represent the $$x$$ -coordinates at those points.

At which point on the graph of $$f$$ does the rate of change change from decreasing to increasing?

Accepted Answer

point C

Answer

point A

Answer

point B

Answer

point D

Answer

point E

Question 7

The graph of $$g$$ is shown for the domain interval $$-13\le x\le13$$ . What are all the intervals of $$x$$ where the function $$g$$ is increasing at an increasing rate?

Accepted Answer

$$\left(6,13\right)$$

Answer

$$\left(-13,-6\right)$$

Answer

$$\left(-6,0\right)$$

Answer

$$\left(0,6\right)$$

Question 8

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 9

The graph of the function $$f$$ is shown. The extrema for $$f$$ are labeled where A, B, C, D, and E represent the $$x$$ -coordinates at those points.

On which of the following intervals is the graph of $$f$$ decreasing at an increasing rate?

Accepted Answer

interval from C to D

Answer

interval from A to B

Answer

interval from B to C

Answer

interval from D to E

Question 10

The graph of the function $$f$$ is shown. The extrema for $$f$$ are labeled where A, B, C, D, and E represent the $$x$$ -coordinates at those points.

At which point on the graph of $$f$$ does the function change from decreasing to increasing?

Accepted Answer

point D

Answer

point A

Answer

point B

Answer

point C

Answer

point E

Question 11

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Quadratic Increasing and Decreasing Intervals

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