Quiz about Rational Expressions Graphing

Question 1

How do you find the x intercepts of a rational function?

Accepted Answer

Find the zeros of the numerator.

Answer

Find the zeros of the denominator.

Answer

Compare the power of the numerator to the power of the denominator.

Answer

Find the lead coefficient of the numerator over the lead coefficient of the denominator.

Question 2

Which of the following statementS are true about the following function: (Choose all answers that apply) $$f\left(x\right)=\ \frac{3}{x^2-x-6}$$

Accepted Answer

HA at y = 0

Accepted Answer

No Holes

Answer

HA at y = -2

Answer

VA at x = -2

Question 3

Which of the following statementS are true about the following function: (Choose all answers that apply)

Accepted Answer

VA at x = 1

Accepted Answer

No HA

Answer

Hole at x = 0

Answer

VA at x = -1

Question 4

What is the y-intercept for this rational function?

Accepted Answer

$$\left(0,\ -\frac{3}{2}\right)$$

Answer

$$\left(0,\ 4\right)$$

Answer

$$\left(0,\ \frac{1}{4}\right)$$

Answer

$$\left(0,\ 6\right)$$

Question 5

Which asymptote(s) are determined by looking at the denominator?

Accepted Answer

vertical

Answer

horizontal

Answer

end behavior

Answer

none

Question 6

The horizontal asymptote equals zero when:

Accepted Answer

the degree of the numerator is less than the degree of the denominator

Answer

the degree of the numerator and denominator are equal

Answer

the degree of the numerator is greater than the degree of the denominator

Answer

the numerator equals zero

Question 7

Describe the transformation of the function.

Accepted Answer

shift left 3 units

Answer

shift right 3 units

Answer

shift up 3 units

Answer

shift down 3 units

Question 8

Describe the transformation of the function.

Accepted Answer

shift up by 3 units

Answer

shift right by 3 units

Answer

shift left by 3 units

Answer

shift down by 3 units

Question 9

If the degree of the numerator is equal to the degree of the denominator,

Accepted Answer

the horizontal azymptote is the lead coefficient of the numerator over the lead coefficient of the denomiator

Answer

there is no horizontal asymptote.

Answer

the horizontal asmptote is the y axis.

Answer

The horizontal asymptote is y = 0

Question 10

If the degree of the numerator is greater than the degree of the denominator,

Accepted Answer

there is no horizontal asymptote.

Answer

the horizontal asmptote is the y axis.

Answer

the horizontal azymptote is the lead coefficient of the numerator over the lead coefficient of the denomiator

Answer

The horizontal asymptote is y = 0

Rational Expressions Graphing

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