AP Precalculus 1.11A Practice

Math Response

1. $$1.\ \ f\left(x\right)=2\left(x-4\right)^2$$ a. Standard form

Expand the function into its standard form

Type answer here

Correct Answer: 2x^2-16x+32

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Math Response

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

b. Degree:

What is the degree of the function?

Type answer here

Correct Answer: 2

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Match

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

c. End Behavior

• Degree

• Leading

  Coefficient

• Type of

  Graph

Even

Positive

Parabola

• Even

• Positive

• Parabola

Match

End Behavior

Match the conditions to the end behavior

Degree: Even

Lead Coeff: +

Degree: Odd

Lead Coeff: +

Degree: Even

Lead Coeff: -

Degree: Odd

Lead Coeff: -

• Degree: Even

  Lead Coeff: +

• Degree: Odd

  Lead Coeff: +

• Degree: Even

  Lead Coeff: -

• Degree: Odd

  Lead Coeff: -

Multiple Choice

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

c. End Behavior

Choose the correct end behavior

Multiple Select

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

d. Zeros

Find the zeros of the function

• -4

• 2

• 4

• 0

• None

Multiple Choice

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

e. where is $$f\left(x\right)\ge0$$ ?

• All Real

  Numbers

• $$\left[0,\ \infty\right)$$

• $$\left[4,\ \infty\right)$$

Math Response

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

f. y-intercept

(just input the y value)

Type answer here

Correct Answer: 32

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Rad

Math Response

4. $$h\left(t\right)=\frac{t^3-4t^2}{t^2+2t-15}$$

a. factored form

Write the factored form of the function

Type answer here

Correct Answer: \frac{t^2\left(t-4\right)}{\left(t+5\right)\left(t-3\right)}

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Multiple Select

4. $$h\left(t\right)=\frac{t^3-4t^2}{t^2+2t-15}$$

b. Domain

Find the domain of the function

• $$t\ne5$$

• All real numbers

• $$t\ne3$$

• $$t\ne-5$$

• $$t\ge0$$

Multiple Select

4. $$h\left(t\right)=\frac{t^3-4t^2}{t^2+2t-15}$$

c. Zeros

Identify all zeros of the function

• $$t=5$$

• None

• $$t=0$$

• $$t=4$$

• $$t=3$$

Multiple Select

4. $$h\left(t\right)=\frac{t^3-4t^2}{t^2+2t-15}$$

d. Holes

Identify all Holes of the function

• $$t=5$$

• None

• $$t=0$$

• $$t=4$$

• $$t=3$$

Multiple Select

4. $$h\left(t\right)=\frac{t^3-4t^2}{t^2+2t-15}$$

e. Vertical Asymptotes

Identify all V. A. of the function

• $$t=-5$$

• None

• $$t=0$$

• $$t=4$$

• $$t=3$$

Open Ended

4. $$h\left(t\right)=\frac{t^3-4t^2}{t^2+2t-15}$$

e. Horizontal Asymptotes

EXPLAIN Why is there no horizontal asymptote?

Math Response

$$h\left(t\right)=\frac{t^3-4t^2}{t^2+2t-15}$$

g. y intercept

give the y value of the y intercept

Type answer here

Correct Answer: 0

Deg^°

Rad