Unit 1 MCQ AP Precalculus Exam Review (64-129)

The table gives values for a polynomial function h at selected values of x. It is known that h is increasing on the interval 0 < x < 4. Which of the following could be true about the graph of h on the interval 0 < x < 4?

• The graph of h is concave down because the average rate of change over equal-length input-value intervals is increasing.

• The graph of h is concave up because the average rate of change over equal-length input-value intervals is increasing.

• The graph of h is concave down because the average rate of change over equal-length input-value intervals is decreasing.

• The graph of h is concave up because the average rate of change over equal-length input-value intervals is decreasing.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

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?

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

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

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

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

Tags

CCSS.HSF.IF.B.6

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

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 the 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.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

CCSS.HSF.IF.C.9

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?

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

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

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

• k 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.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

Which of the following claim and explanation statements best fit these data?

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

• f is best modeled by a linear function, because the average rates of change over consecutive equal-length input-value intervals can be given by a linear function.

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

• f is best modeled by a quadratic function, because the average rates of change over consecutive equal-length input-value intervals can be given by a linear function.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

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 the average rates of change over consecutive equal-length input-value intervals can be given by a linear function.

• 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 average rates of change over consecutive equal-length input-value intervals can be given by a linear function.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

Which of the following claim and explanation statements best fit these data?

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

• p is best modeled by a linear function, because the average rates of change over consecutive equal-length input-value intervals can be given by a linear function.

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

• p is best modeled by a quadratic function, because the average rates of change over consecutive equal-length input-value intervals can be given by a linear function.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

CCSS.HSS.ID.C.7

The graph of the polynomial function f is concave up on the interval 0 ≤ x ≤ 10. Which of the following could be a table of values containing points on the function f?

• 
• 
• 
• 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The graph of the polynomial function g is concave down on the interval 0 ≤ x ≤ 10. Which of the following could be a table of values containing points on the function g?

• 
• 
• 
• 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7