Precalculus Section 2.2 Part 2

Precalculus Section 2.2 Part 2

Quartic Functions

Multiple Choice

Look at Graph A and Graph B

How many x intercepts to A and B have?

• 1

• 2

• 3

• 4

• 5

Multiple Choice

Look at Graph A and Graph B

What degree are the two graphs?

• 1

• 2

• 3

• 4

• 5

Multiple Choice

Look at Graph A and Graph B

Which graph has a negative leading coefficient?

• A

• B

• Both

• Neither

Remind the person next to you. . .

Multiple Select

You are finding the zeros for a polynomial and you find that x = 3 is a zero for that function. What else is true about the function?

• (0, 3) is on the graph

• (3, 0) is on the graph.

• (x - 3) is a factor for the polynomial

• (x + 3) is a factor for the polynomial

• f(3) = 0

Multiple Select

Find the zeros of the function:

$$f\left(x\right)\ =\ x^3-x^2-2x$$  

• -2

• -1

• 0

• 1

• 2

Multiple Select

Find the zeros of the function:

$$f\left(x\right)\ =\ 3x^4-4x^3$$  

• -3/4

• -4

• 0

• 3

• $$\frac{4}{3}$$  

Multiple Choice

What is the multiplicty of x = 0?

$$f\left(x\right)\ =\ 3x^4-4x^3$$  

• 0

• 1

• 2

• 3

• $$4$$  

Draw

Sketch the graph.

You know what this looks like.

Think Transformations

$$f\left(x\right)\ =\ 3x^4-4x^3$$

Open Ended

What do you expect the zero at x = 4 to look like?

$$f\left(x\right)\ =\ \left(x-4\right)^2\left(x-1\right)\left(x+1\right)$$

Multiple Select

What do you expect the zero at x = 4 to look like?

$$f\left(x\right)\ =\ \left(x+2\right)^3\left(x-1\right)$$

• It will go through the axis.

• It will bounce off the axis and stay on that side.

• It will look like a line at the zero.

• It will look like a parabola at the zero.

• It will look like a cubic function at the zero.

Draw

Sketch the graph.

You know what this looks like.

Think Transformations

$$f\left(x\right)\ =\ \left(x-3\right)^4$$