MC Review 1.1 to 1.6

• f has 8 distinct real zeros

• f has four distinct real zeros

• f has three distinct real zeros and two non-real zeros

• f has six distinct real zeros and two non-real zeros.

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Answer explanation

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

• 4

• 6

• 7

• 9

The graph of h is shown. Which of the following statements about h is correct?

• The rate of change of h is positive and increasing

• The rate of change of h is negative and decreasing

• The function h is negative and decreasing

• The function h is negative and the rate of change of h is negative

Answer explanation

As x increases, the function h is decreasing at a decreasing rate (concave down). As a result, we can be certain that the rate of change of h is negative (because the function h is decreasing) and decreasing (because h is concave down)

The correct answer is

The rate of change of h is negative and decreasing

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

CCSS.HSF.IF.C.7

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Selected values of the polynomial function g are shown in the table. Which of the following statement pairs about g could be true?

• g is an odd function and the graph of g is concave down

• g is an odd function and the graph of g is concave up

• g is an even function and the graph of g is concave down

• g is an even function and the graph of g is concave up

Answer explanation

Tags

CCSS.HSA.APR.A.1

Answer explanation

The graph of g is shown. Which of the following statements about g is correct?

• g is increasing at an increasing rate

• g is increasing at a decreasing rate

• g is decreasing at a decreasing rate

• g is decreasing at an increasing rate

Answer explanation

The graph of g is shown. Which of the following statements about g is correct?

Well, this graph is decreasing

In addition, this graph is concave up (meaning the rate of change is increasing)

So this graph is decreasing at an increasing rate.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The graph of h is shown. Which of the following statements about h is correct?

• h is increasing at an increasing rate

• h is increasing at a decreasing rate

• h is decreasing at a decreasing rate

• h is decreasing at an increasing rate

Answer explanation

The graph of h is shown. Which of the following statements about h is correct?

Well, this graph is increasing

In addition, this graph is concave up (meaning the rate of change is increasing)

So this graph is increasing at an increasing rate.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

CCSS.HSF.IF.C.7

The graph of k is shown. Which of the following statements about k is correct?

• k is increasing at an increasing rate

• k is increasing at a decreasing rate

• k is decreasing at a decreasing rate

• k is decreasing at an increasing rate

Answer explanation

The graph of h is shown. Which of the following statements about h is correct?

Well, this graph is increasing

In addition, this graph is concave down (meaning the rate of change is decreasing)

So this graph is increasing at an decreasing rate.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

CCSS.HSF.IF.C.7