How to graph a function

Practice Questions

Advanced Geometry › How to graph a function

Page 1 of 6

10 of 56

1

What is the domain of $y = 4 - x^{2}$ ?

2

Define $g (x) = \frac{1}{\sqrt[3]{x -27}}$

What is the natural domain of ?

3

Give the domain of the function

$f(x) = \sqrt{x^{2}+ 25}$

4

Give the -coordinate(s) of the -intercept(s) of the graph of the function

$f(x) = \frac{1}{2} x- \frac{7}{2}$

5

Give the -coordinate of the -intercept of the graph of the function

$f(x) = \sqrt{x- 9}$

6

Give the domain of the function

$f(x) =x+ \sqrt{x+ 7}$

7

The chord of a $60^{\circ }$ central angle of a circle with area $40 \pi$ has what length?

8

Give the domain of the function

$f(x)= x^{2}-3x-10$

9

Which of the following are the equations of the vertical asymptotes of the graph of $f(x) = \frac{ x+1}{x^{2}+6x+5}$ ?

(a)

(b)

10

True or false: The graph of $f(x) = \frac{ x-7}{2x^{2}-15x+7}$ has as a vertical asymptote the graph of the equation .

Page 1 of 6

Return to subject