Question 1

What is the domain of the function $y=-2+e^{-x}$?

Accepted Answer

x can be any number

Answer

$x<0$

Answer

$x>-2$

Answer

y can be any number

Question 2

What is the range of the function $y=-2+e^{-x}$?

Accepted Answer

$y>-2$

Answer

$y\geq-2$

Answer

$x>-2$

Answer

$y>0$

Question 3

What is the equation of the asymptote of the function $y=-2+e^{-x}$?

Accepted Answer

$y=-2$

Answer

asymptote$=-2$

Answer

$x=0$

Answer

$x=-2$

Question 4

What is the domain of the function $y=-3+\ln{(-x)}$?

Accepted Answer

$x<0$

Answer

x can be any number

Answer

$x\leq0$

Answer

$x>0$

Question 5

What is the range of the function $y=-3+\ln{(-x)}$?

Accepted Answer

y can be any number

Answer

$y>-3$

Answer

x can be any number

Answer

$x>-3$

Question 6

What is the equation of the asymptote of the function $y=-3+\ln{(-x)}$?

Accepted Answer

$x=0$

Answer

$y=-3$

Answer

asymptote$=0$

Answer

$x=-3$

Question 7

What are the domain, range and asymptote of the function $y=e^{x+8}$?

Accepted Answer

Domain: x can be any number; Range: $y>0$; Asymptote: $y=0$

Answer

Domain: $x>-8$; Range: y can be any number; Asymptote: $x=-8$

Answer

Domain: x can be any number; Range: $y\ge0$; Asymptote: $y=0$

Answer

Domain: $x>0$; Range: y can be any number; Asymptote: $y=0$

Question 8

What are the domain, range and asymptote of the function $y=5+\ln{(x-2)}$?

Accepted Answer

Domain: $x>2$; Range: y can be any number; Asymptote: $x=2$

Answer

Domain: x can be any number; Range: $y<5$; Asymptote: $x=2$

Answer

Domain: x can be any number; Range: $y>5$; Asymptote: $y=5$

Answer

Domain: $x\geq2$; Range: y can be any number; Asymptote: $x=2$

Question 9

What are the domain, range and asymptote of the function $y=e^{2x}-3$?

Accepted Answer

Domain: x can be any number; Range: $y>-3$; Asymptote: $y=-3$

Answer

Domain: $x>0$; Range: y can be any number; Asymptote: $x=0$

Answer

Domain: $x>2$; Range: $y>-3$; Asymptote: $y=-3$

Answer

Domain: x can be any number; Range: $y\ge-3$; Asymptote: $x=-3$

Question 10

What are the domain, range and asymptote of the function $y=8+\ln{(x+3)}$?

Accepted Answer

Domain: $x>-3$; Range: y can be any number; Asymptote: $x=-3$

Answer

Domain: x can be any number; Range: y can be any number; Asymptote: $y=0$

Answer

Domain: x can be any number; Range: $y>8$; Asymptote: $y=8$

Answer

Domain: x can be any number except -3; Range: y can be any number; Asymptote: $x=-3$

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