Exercises for Question Type 5: Finding the range of different simple functions

Question 1

Skill question

Find the range of $f (x) = 2 cos (3 x) - 1$ .

[3]

Question 2

Skill question

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

[2]

Question 3

Skill question

Determine the range of $f (x) = 3 sin (x)$ .

[2]

Question 4

Skill question

Determine the range of $f (x) = x$ .

[2]

Question 5

Skill question

Determine the range of $f (x) = x^{2} + 3$ .

[2]

Question 6

Skill question

Find the range of $f (x) = - x^{2} + 5$ .

[2]

Question 7

Skill question

Find the range of the function $f (x) = ∣ x ∣$ .

[2]

Question 8

Skill question

Find the range of $f (x) = ln (x - 1)$ .

[2]

Question 9

Skill question

Determine the range of $f (x) = e^{8 x} + 2$ .

[2]

Question 10

Skill question

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

[3]

Question 11

Skill question

Determine the range of $f (x) = \frac{x}{1 + x ^{2}}$ .

[5]

IB Mathematics Analysis and Approaches Question Type 5: Finding the Range of Different Simple Functions Exercises