Free Printable 4-1 Attributes Of Rational Functions #1

1.

What is the domain of the function?

a)

$\left(-\infty,-1\right)U\ \left(-1,\infty\right)$

b)

$\left(-\infty,-1\right]U\ \left[-1,\infty\right)$

c)

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

d)

$\left(-\infty,-2\right]U\ \left[-2,\infty\right)$

2.

What is the domain of the function?
$y=\frac{1}{x}+3$

a)

$\left(-\infty,0\right)U\ \left(0,\infty\right)$

b)

$\left(-\infty,0\right]U\ \left[0,\infty\right)$

c)

$\left(-\infty,3\right)U\ \left(3,\infty\right)$

d)

$\left(-\infty,3\right]U\ \left[3,\infty\right)$

3.

What is the vertical asymptote of the graph?

a)

x = -3

b)

x = 1

c)

y=1

d)

y=-3

4.

a)

$\left(-\infty,1\right)U\left(1,\infty\right)$

b)

$\left(-\infty,1\right]U\left[1,\infty\right)$

c)

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

d)

$\left(-\infty,-2\right]U\left[-2,\infty\right)$

5.

What is the domain?

a)

D : All real number x ≠ -3

b)

D : All real number x ≠ 1

c)

D : All real number x ≠ 3

d)

D : All real number x ≠ -1

6.

a)

(−∞, ∞)

b)

(−∞, 0) ∪ (0, ∞)

c)

(−∞, 1) ∪ (1, ∞)

d)

(−∞, -2) ∪ (-2, ∞)

7.

a)

The functions domain is All Reall #s

b)

There is a vertical asymptote at y = −2

c)

There is a vertical asymptote at x = −2

d)

The function is reflected across the x-axis

8.

a)

The function has a domain of (−∞, -1) ∪ (-1, ∞)

b)

Its a rational function that has been shifted 3 units right, and 1 unit down

c)

Its a rational function that has been reflected over the x-axis

d)

None of these are true

9.

How is this function transformed from the parent function?

a)

Translated left 5 and up 1

b)

Translated right 5 and up 1

c)

Translated left 5 and down 1

d)

Translated right 5 and down 1

10.

What are the x and y intercepts of the rational function?

a)

x=6 and y=-2

b)

x=-2 and y=6

c)

There are no x and y intercepts of this graph.

4-1 Attributes Of Rational Functions #1

Total questions: 10

Worksheet time: 31mins

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