Content
Access custom-built, exam-style problems for function theory. Each problem has a full solution and mark-scheme, as well as AI grading and support.
Select a Difficulty:
4 / 39 problems visible - Upgrade to view all problems
!
0 / 4
The function h(x)=2x+5 models the cost (in dollars) of renting a scooter for x hours.
Write down the cost of renting the scooter for 3 hours.
Solve h(x)=15.
State the gradient of the function and explain what it represents in this context.
!
0 / 4
The function P(t)=200⋅1.05t models the population of a small town after t years.
Write down the initial population of the town.
Find the population after 2 years.
State, with justification whether the population is increasing or decreasing.
0 / 4
Consider the rational function g(x)=x−cax+b where a,b,c∈Z and x=c. The graph of y=g(x) is shown in the diagram below.
Powered by Desmos
Write down
the value of a,
The value of c.
Find the value of b.
0 / 6
Consider the rational function g(x)=3+2x7−4x, for x=−23.
For the graph of y=g(x) find
the coordinates of the axes intercepts,
the equations of the asymptotes.
Hence sketch the graph of y=g(x) on the axes below.
Powered by Desmos
Ask Plex AI about problem 1
Get hints, ask questions, and work through this problem step by step