Quiz about Unit 4 - Polynomial Graphs

Question 1

What is the end behavior of this polynomial graph as x approaches infinity?

Accepted Answer

$$f\left(x\right)\ \rightarrow\ \infty$$

Answer

$$f\left(x\right)\ \rightarrow\ -\infty$$

Answer

$$f\left(x\right)\ \rightarrow\ 3$$

Answer

$$f\left(x\right)\ \rightarrow\ -4$$

Question 2

What are the zeros of the polynomial function shown?

Accepted Answer

$$\left\{-2,\ 1,\ 4\right\}$$

Answer

$$\left\{-4,\ -1,\ 2\right\}$$

Answer

$$\left\{-3,\ 0,\ 3\right\}$$

Answer

no real zeros

Question 3

What is the local maximum point in the polynomial graph?

Accepted Answer

$$\left(-3,\ 6\right)$$

Answer

$$\left(0,\ 1\right)$$

Answer

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

Question 4

What are the factors of a polynomial with zeros at -3, 2, and 8?

Accepted Answer

$$\left(x+3\right)\left(x-2\right)\left(x-8\right)$$

Answer

$$\left(x+6\right)\left(x-4\right)\left(x-16\right)$$

Answer

$$\left(x-3\right)\left(x+2\right)\left(x+8\right)$$

Question 5

Where is the double root of the polynomial function graphed here?

Accepted Answer

$$x=-1$$

Answer

$$x=1$$

Answer

$$x=3$$

Answer

$$x=0$$

Question 6

Where is the triple root in the polynomial function:

$$h\left(x\right)=\left(x+3\right)\left(x-7\right)^3\left(x-4\right)\left(x+11\right)^2$$

Accepted Answer

$$x=7$$

Answer

$$x=4$$

Answer

$$x=3$$

Answer

$$x=-11$$

Question 7

What are the zeros of the polynomial function:

$$f\left(x\right)=\left(x+4\right)\left(x-1\right)\left(x+10\right)$$

Accepted Answer

$$\left\{-10,\ -4,\ 1\right\}$$

Answer

$$\left\{-1,\ 4,\ 10\right\}$$

Answer

$$\left\{-40,\ 0\right\}$$

Unit 4 - Polynomial Graphs