Exercises for Question Type 3: Finding domain and range of logarithmic and exponential functions

Question 1

Skill question

Determine the range of $f (x) = x^{2} e^{x}$ .

[6]

Question 2

Skill question

Find the domain of $f (x) = ln (4 x + 5)$ .

[2]

Question 3

Skill question

Determine the range of $h (x) = x e^{x + 4}$ .

[5]

Question 4

Skill question

Find the domain of $h (x) = ln (x^{2} - 4)$ .

[2]

Question 5

Skill question

Find the domain of $f (x) = ln (x^{2} - 2 x - 3)$ .

[3]

Question 6

Skill question

Determine the range of $f (x) = 3 e^{- x}$ .

[2]

Question 7

Skill question

Find the domain of $f (x) = ln (\frac{x - 1}{x + 2})$ .

[3]

Question 8

Skill question

Find the range of $f (x) = e^{2 x}$ .

[2]

Question 9

Skill question

Determine the domain of $f (x) = ln (5 - x^{2})$ .

[3]

Question 10

Skill question

Determine the range of $f (x) = \frac{e ^{x}}{1 + e ^{x}}$ .

[5]

Question 11

Skill question

Find the range of $f (x) = e^{x} + e^{- x}$ .

[6]

Question 12

Skill question

Determine the domain of $g (x) = lo g_{2} (3 - x)$ .

[2]

IB Mathematics Analysis and Approaches Question Type 3: Finding Domain and Range of Logarithmic and Exponential Functions Exercises