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

Question 1

Skill question

Find the range of the function $f (x) = - x - 2 + 1$ .

[3]

Question 2

Skill question

Find the range of the quadratic function $f (x) = - (x - 3)^{2} + 4$ .

[3]

Question 3

Skill question

Determine the range of the square root function $f (x) = x + 3$ .

[2]

Question 4

Skill question

Determine the range of the rational function $f (x) = \frac{1}{x - 1} + 3$ .

[3]

Question 5

Skill question

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

[3]

Question 6

Skill question

Determine the range of the logarithmic function $f (x) = ln (x - 1)$ .

[3]

Question 7

Skill question

Find the range of the linear function $f (x) = 3 x + 5$ .

[2]

Question 8

Skill question

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

[2]

Question 9

Skill question

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

[2]

Question 10

Skill question

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

[2]

Question 11

Skill question

Determine the range of the rational function $f (x) = \frac{x}{x - 1}$ .

[3]

Question 12

Skill question

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

[2]

IB Mathematics Applications & Interpretation Question Type 5: Finding the Range of Different Simple Functions Exercises