Question 1

Find the function value. $ f(x)=\frac{x+6}{14x-13}$; $f(-2)=$

Accepted Answer

-4/41

Question 2

Find the function value. $ f(x)=\frac{x^3-2}{x^2-2}$; $f(2)$

Accepted Answer

3

Question 3

Find the vertical  asymptote(s) of the graph of the given function. $f(x)=\frac{x+3}{x-5}$

Accepted Answer

x=5

Question 4

Find  the hotizontal asymptote(s) of the graph of the given function. $f(x)=\frac{x+3}{x-5}$

Accepted Answer

y=1

Question 5

Find the vertical asymptote(s) of the graph of the given function.  $ h(x) = \frac{x^2-100}{(x -8)(x+1)}$

Accepted Answer

$x = 8, x = -1$

Answer

$x = 10, x = -10$

Answer

$y = 8, y = -1$

Answer

$x=-8, x=1$

Question 6

Find the vertical asymptote(s) of the graph of the given function.  $ h(x) = \frac{4}{x (x+8)}$

Accepted Answer

$x =- 8, x = 0$

Answer

$x=-8, x=4$

Answer

$x = -8, x = 0$

Answer

$y = 8, x = 0$

Question 7

Find the domain of the rational function. $f(x)=\frac{2}{x-2}$

Accepted Answer

the domain of f:$ (-∞, 2) ∪ (2, ∞)$

Answer

the domain of f:$ (-∞, 0) ∪ (0, ∞)$

Answer

the domain of f:$ (-∞, ∞)$

Answer

the domain of f:$ (-∞, -2) ∪ (-2, ∞)$

Question 8

Find the domain of the rational function. $f(x)=\frac{4}{x+4}$

Accepted Answer

the domain of f:$ (-∞, -4) ∪ (-4, ∞)$

Answer

the domain of f:$ (-∞, 4) ∪ (4, ∞)$

Answer

the domain of f:$ (-∞, 0) ∪ (0, ∞)$

Answer

the domain of f:$ (-∞, ∞)$

Question 9

Which of the following formula will be used to factor $x^3-27$

Accepted Answer

$(a-b)(a^2+ab+b^2)$

Answer

$(a-b)(a^2-ab-b^2)$

Answer

$(a+b)(a^2+ab-b^2)$

Answer

$(a+b)(a^2-ab+b^2)$

Question 10

Which of the following formula will be used to factor $x^3+27$

Accepted Answer

$(a+b)(a^2-ab+b^2)$

Answer

$(a-b)(a^2-ab-b^2)$

Answer

$(a+b)(a^2+ab-b^2)$

Answer

$(a-b)(a^2-ab+b^2)$

Question 11

Factor using the formula for the sum or difference of two cubes.r $x^3-27$

Accepted Answer

$(x-3)(x^2+3x+9)$

Answer

$(x-3)(x^2-3x+9)$

Answer

$(x+3)(x^2+3x-9)$

Answer

$(x+3)(x^2-3x+9)$

Question 12

Factor using the formula for the sum or difference of two cubes.r $x^3+27$

Accepted Answer

$(x+3)(x^2-3x+9)$

Answer

$(x-3)(x^2-3x+9)$

Answer

$(x+3)(x^2+3x-9)$

Answer

$(x-3)(x^2+3x+9)$

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