Quiz about Polynomial Graphing

Question 1

The function f(x) is graphed in the picture. What is true about the graph on the interval from x = d to x = e?

Accepted Answer

It is positive and decreasing.

Answer

It is positive and increasing.

Answer

It is negative and increasing.

Answer

It is negative and decreasing.

Question 2

The function f(x) is graphed in the picture. How many points on the graph represent a relative extrema?

Accepted Answer

5

Answer

2

Answer

3

Answer

4

Question 3

The function f(x) is graphed in the picture. How many points on the graph represent a relative minimum?

Accepted Answer

3

Answer

5

Answer

2

Answer

4

Question 4

Express the following fraction in simplest form using only positive exponents. $$\frac{x^4x^3}{5x^5}$$

Accepted Answer

$$\frac{x^2}{5}$$

Answer

$$5x^2$$

Answer

$$\frac{x^7}{5}$$

Answer

$$\frac{x^{12}}{5}$$

Question 5

Express the following fraction in simplest form using only positive exponents. $$\frac{5\left(h^4\right)^2}{20h^9}$$

Accepted Answer

$$\frac{1}{4h}$$

Answer

$$\frac{1}{5h}$$

Answer

$$\frac{1}{4h^3}$$

Answer

$$\frac{1}{5h^3}$$

Question 6

Express the following fraction in simplest form using only positive exponents. $$\frac{\left(3r\right)^3}{3r}$$

Accepted Answer

$$9r^2$$

Answer

$$3r^2$$

Answer

$$9r$$

Answer

$$3r$$

Question 7

Factor to find all x-intercepts of the function. $$f\left(x\right)=x^2+11x+24$$

Accepted Answer

-3, -8

Answer

-2, -12

Answer

-4, -6

Answer

-4, -7

Question 8

Factor to find all x-intercepts of the function. $$f\left(x\right)=\ x^5−8x^4+12x^3$$

Accepted Answer

0, 2, 6

Answer

0, 4

Answer

0, 3, 5

Answer

0, 1, 8

Question 9

Find the y-coordinate of the y-intercept of this polynomial function: $$f(x)=−2(x+4)(x+1)(x−2)$$

Accepted Answer

16

Answer

-8

Answer

-16

Answer

8

Question 10

Find the y-coordinate of the y-intercept of this polynomial function: $$f(x)=−2(5x+5)(x+1)^2$$

Accepted Answer

-10

Answer

-1, 1

Answer

10

Answer

-1, 0, 1

Question 11

Find all x-intercepts of the function. $$f(x)=−2(5x+5)(x+1)^2$$

Accepted Answer

-1, 1

Answer

-10

Answer

10

Answer

-1, 0, 1

Question 12

The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

Accepted Answer

-2, 2, 4

Answer

-2, 4, 6

Answer

3, 4, 6

Answer

-2, 3, 2, 4

Question 13

The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

Accepted Answer

-6, -1, 2, 8

Answer

-6, 1, 2, 8

Answer

-6, 0, 4

Answer

-6, 0, 6

Question 14

The given function f(x) is defined on the interval [-9, 9] and represented by the graph below. Find the x-value(s) of all local minima.

Accepted Answer

-5, 5

Answer

-5, 1, 5

Answer

5

Answer

1

Question 15

The given function f(x) is defined on the interval [-9, 9] and represented by the graph below. Find the global maximum value of f(x).

Accepted Answer

8

Answer

-4

Answer

-1

Answer

2

Question 16

The function f(x) is represented by the graph. Consider input vs output. What is x if f(x) = 0?

Accepted Answer

2

Answer

-4

Answer

0

Answer

-1

Question 17

The given function f(x) is defined on the interval [-9, 9] and represented by the graph below. For the circled point, select all that apply.

Accepted Answer

global maximum, local maximum

Answer

local maximum

Answer

global maximum

Answer

there is no point.

Question 18

Make a sign chart that represents this function. $$f(x)=(x+3)^2(x−1)$$

Accepted Answer

Question 19

Make a sign chart that represents the function shown below. $$f(x)=−(x+1)(x−6)^2$$

Accepted Answer

Polynomial Graphing

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