Unit Test 7a: Rational Functions

Last updated almost 3 years ago
17 questions
3

Simplify \frac{8n}{n-3}+\frac{3n}{5n-6}

3

Subtract \frac{8}{x^{2}-x-2}-\frac{3}{x^{2}-4}

4

Simplify: \frac{1}{n+5}\cdot\frac{n^{2}+2n-15}{n-8}

3

Solve for x: \frac{1}{x-8}+\frac{1}{x^{2}+x-72}=\frac{6}{x-8}

4

Solve for x:\frac{x}{2x-3}=\frac{3x}{x+11}

1

Given the function f(x)=-\frac{2}{x-3}+5, identify the horizontal asymptote.. You do not need to show work for this one.

4

Graph f(x)=\frac{2}{x-1}-3. Label the asymptotes and two orded pairs on each branch.

1

Simplify \frac{m^{2}+m-30}{m^{2}+13m+42}\div\frac{m-2}{m+7}

1

Forf(x)=\frac{-2x^2-2x}{x^2-3x-4} , what is the equation of the horizontal asymptote

1

For f(x)=\frac{2x(x+1)}{(x-3)(x+1)}
​
, what are the coordinates of the holes, if it\they exist.

1

For f(x)=\frac{2x(x+1)}{x^2-3x-4}
, what is the equation of the vertical asymptote

2

For f(x)=\frac{2x^{2}+2x}{x^2-2x-3}what is the Domain

3

Find the x-intercept, if one exists: f(x)=\frac{x^{2}+2x}{x^{2}+x}...I see that the option isn't here.. you will all get credit for this one....

2

What is the equation of the rational function graphed below:

1

What is the equation of the vertical asymptote? f(x)=\frac{4x^{2}+8x}{x+3}

3

Which statements are true for the given rational function. Select all that apply.

f(x)=\frac{x^{2}-6x}{x^2-4x-12}

3

Write an equation for the graph below: