Pre-Calculus

Practice Questions

High School Math › Pre-Calculus

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1

Simplify the following polynomial function:

$ab^{-2}(a^{2}b + a^{-1}b^{3}-a^{3}b^{-1})$

2

What is the domain of the function below:

$f(x)=\frac{1}{\sqrt[4]{x^{2}+1}-\frac{1}{2}}$

3

What is the domain of the function below?

$f(x)=\frac{1-2x}{\sqrt{x^2-x+\frac{1}{4}}}$

4

$\textup{Find: }\lim_{x \to \infty }\frac{2x^{2}-7x}{x^{2}+3}$

5

Calculate $\lim_{x\rightarrow \infty }\left ( x^{2} \sin \frac{1}{ x^{2}-1} - \sin \frac{1}{ x^{2}-1} \right )$ .

6

What are the solutions to $y = x^{2} + x -6$ ?

7

Factor the polynomial if the expression is equal to zero when $x=-6, -4,\ or\ 2$ .

8

What is the center and radius of the circle indicated by the equation?

9

What is the center and radius of the circle indicated by the equation?

10

$\textup{Find: }\lim_{x \to \infty }\frac{2x^{2}-7x}{x^{2}+3}$

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