Functions

Question 1

Domain and range of eˣ

Answer 1

Domain = x ∈ ℝ (belongs to all the values of the real numbers)
Range= f(x) >0

Question 2

Domain and Range for lnx

Answer 2

Domain = x > 0 (must be positive in order for the curve to exist)
Range= f(x) ∈ ℝ (can reach any real value, despite the graph being slightly misleading)

Question 3

meaning of the modulus function e.g. | 2x+1 | vs | 2x+1 | -1

Answer 3

• the modulus function reflects the negative parts of the graph in the x-axis
• the modulus function with the number outside e.g. | 2x+1 | -1 is a translation in the y axis 1 down for example