Unit 2: Functions
Topic 2.9: Exponential and Logarithmic Functions Questions
Practice 20 exam-style questions for IB Math AA SL Topic 2.9. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1Choose1 mark
State whether shows growth or decay, and why.
Markscheme and model answer locked
Unlock Question2Find2 marks
2026
A bacteria count is N = 500·2ᵗ where t is in hours. (a) State the initial count. (b) Find the count after 4 hours.
Markscheme and model answer locked
Unlock Question3Choose1 mark
Where does the curve cross the y-axis, and which value does it approach as becomes very negative?
Markscheme and model answer locked
Unlock Question5Explain1 mark
2026
Explain why y = log x has no value at x = −3.
Markscheme and model answer locked
Unlock Question6State2 marks
2026
State whether shows growth or decay, and give a reason.
Markscheme and model answer locked
Unlock Question7Write down2 marks
2026
Write down (a) the x-intercept and (b) the vertical asymptote of y = log x.
Markscheme and model answer locked
Unlock Question8Find2 marks
2026
A radioactive sample decays as M(t) = 80·(0.5)ᵗ grams, t in hours. Find (a) the initial mass and (b) the mass after 3 hours.
Markscheme and model answer locked
Unlock Question9Show that1 mark
2021
A population is modelled by , where is in years. At the start there are animals. Show that .
Markscheme and model answer locked
Unlock Question10Show that1 mark
2021
The mass of a drug in the blood is mg, hours after an injection. After hours the mass is mg. Show that , to the nearest whole number.
Markscheme and model answer locked
Unlock Question11Interpret1 mark
2024
The population of a town is modelled by , where is the number of years since 2020. Interpret the value in this model.
Markscheme and model answer locked
Unlock Question12Interpret1 mark
2024
The temperature of a hot drink, in °C, minutes after it is poured, is . Interpret the value in this model.
Markscheme and model answer locked
Unlock Question13Find1 mark
2024
An investment is worth dollars after years. Find its value after years.
Markscheme and model answer locked
Unlock Question14Write down2 marks
2026
Write down (a) the y-intercept and (b) the horizontal asymptote of .
Markscheme and model answer locked
Unlock Question15Write down2 marks
2026
Write down (a) the x-intercept and (b) the vertical asymptote of .
Markscheme and model answer locked
Unlock Question16Find2 marks
2026
A radioactive sample decays as = 80·(0.5)ᵗ grams, t in hours. Find (a) the initial mass and (b) the mass after 3 hours.
Markscheme and model answer locked
Unlock Question17State2 marks
2026
State the domain and range of y = log x.
Markscheme and model answer locked
Unlock Question18State2 marks
2026
State whether y = (3/4)ˣ shows growth or decay, and give a reason.
Markscheme and model answer locked
Unlock Question20Write down2 marks
2026
Write down (a) the y-intercept and (b) the horizontal asymptote of y = 5ˣ.
Markscheme and model answer locked
Unlock QuestionReady to practice Topic 2.9?
Get instant AI feedback on your answers, view detailed markschemes, and track your progress across all IB Math AA SL topics.