Quiz about Solve and Graph Polynomials

Question 1

Assuming the scale is 1, where is f(x) > 0?

Accepted Answer

(-4, -1) U (2, +oo)

Answer

[-4, -1] U [2, +oo)

Answer

(-oo, -4] U [-1, 2]

Answer

(-oo, -4) U (-1, 2)

Question 2

Question 2.

Accepted Answer

b

Answer

a

Answer

c

Answer

d

Question 3

Find the zeros of this quadratic.

Accepted Answer

b=4/5, b=-3

Answer

b=4/5, b=3

Answer

b=4, b=-3

Answer

b=1/5, b=3

Question 4

The graph of a quadratic function is shown on the grid. Which function is best represented by this graph?

Accepted Answer

$$h\left(x\right)=x^2-6x$$

Answer

$$h\left(x\right)=x^2-3x-9$$

Answer

$$h\left(x\right)=x^2+3x-9$$

Answer

$$h\left(x\right)=x^2+6x$$

Question 5

What could be the equation of p ?

Accepted Answer

$$p\left(x\right)=\left(x+5\right)\left(2x+3\right)\left(x-2\right)$$

Answer

$$p\left(x\right)=\left(x-5\right)\left(3x-2\right)\left(x+2\right)$$

Answer

$$p\left(x\right)=\left(x-5\right)\left(2x-3\right)\left(x+2\right)$$

Answer

$$p\left(x\right)=\left(x+5\right)\left(3x+2\right)\left(x-2\right)$$

Question 6

How does a factor's degree affect the graph's behavior at the root? Check ALL that apply!!

Accepted Answer

An ODD degree of 1 will CUT straight through the x-axis

Accepted Answer

An EVEN degree will BOUNCE at the x-axis

Accepted Answer

An ODD degree of 3 (or higher) will SQUIGGLE through the x-axis.

Answer

An ODD degree of 3 (or higher) will CUT straight through the x-axis.

Answer

An EVEN degree will SQUIGGLE through the x-axis

Question 7

What is the End Behavior of the given graph f(x)?

Accepted Answer

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

Answer

$$as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$ $$and\ as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$

Answer

$$as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$ $$and\ as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

Answer

$$as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$ $$and\ as\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$

Solve and Graph Polynomials