Continuous on the Interval

Practice Questions

CLEP Calculus › Continuous on the Interval

Questions

10

1

Describe the function

$f(x)=\left{\begin{matrix}-\sqrt{x}\textup{ when }x\geq 0 \ -\sqrt{-x}\textup{ when }x\leq 0 \end{matrix}\right.$

on the interval .

2

Describe the function

$f(x)=\left{\begin{matrix}-\sqrt{x}\textup{ when }x\geq 0 \ -\sqrt{-x}\textup{ when }x\leq 0 \end{matrix}\right.$

on the interval .

3

For what value(s) of

$f(x)=\frac{2x-8}{x^{2}-16}$ ?

4

For what value(s) of

$f(x)=\frac{2x-8}{x^{2}-16}$ ?

5

On which of the following intervals is the function $$ f(x)=\frac{x^2-4}{x+2}$ continuous?

6

On which of the following intervals is the function $$ f(x)=\frac{x^2-4}{x+2}$ continuous?

7

On what interval is the derivative of the function:

$f(x)=\sqrt{x-3}$

continuous?

8

On what interval is the derivative of the function:

$f(x)=\sqrt{x-3}$

continuous?

9

Evaluate the following limit:

$\lim_{x\rightarrow \infty }\frac{2x^2-4}{x^2-3}$

10

Evaluate the following limit:

$\lim_{x\rightarrow \infty }\frac{2x^2-4}{x^2-3}$

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