Find the derivative of a function of the form $y=ax^b$ using a table of derivatives.

Finding composite functions of 2 linear functions.

Finding the inverse of a function of the form $f(x)=\frac{mx+c}{x+a},\,x\neq-a$.

Determining the range of a function of the form $f = m|x| + a$.

Evaluating a linear function for a given value of $x$.

Match the relevant graph (sin, cos, tan) with its equation. 

Plot the Fourier series coefficients for a piece-wise linear function.  Write a Python script to reproduce the same figure.

Shows how to use the programming extension's preload function to load files from the question resources into the Python or R code runners.

Look at the question's JavaScript preamble.

Given f(x)=1/(a-x)^2, evaluate f(x/z) where a is a randomised constant, and z is a randomised letter.

Give f(x)=ax^2+b a simple function input (like 6x-3) and evaluate. Constants and variables, and the function input are all randomised.

evaluate a function with randomised alphanumeric expressions as inputs.

Evaluate a linear function at 3 numerical inputs.

Evaluate a given, randomised, linear function at a given, randomised, value.

"Explain what is meant by the argument of a function."

Unmarked: Answer: "The argument is the input."

Student is shown a simple (randomised) function and asked to describe its behaviour. This is an information only question. Students need to view the advice to check their answer.

Two functions given in words. Write down the function definition. The numbers in the function definitions are randomised.

Given a function definition in words, evaluate the function with various variable and numeric inputs

Rearrange a linear function in x and y to make y the subject. Line variables are randomised.

evaluate a function (4a)/(pi*b^2cd) given random values for a,b,c,d.

evaluate the function y=ax+b for given values of a,b and x, each of which may be positive or negative.

Shows how to switch to the 3D graphics view of a geogebra applet using an extension function.

This shows how to take an expression given by the student and plot the implicit curve of points where it equals zero.

This question shows a JSXGraph diagram above a mathematical expression input, containing a plot of the expression the student enters.

Turning points of a cubic function

In the first part, the student must write an R function to compute the first $n$ terms of the series $\frac{1}{k!}$.

In the second part, they must use that function to calculate an approximation to $e$ using a given number of terms of the series.

No description given

The statement contains two blank geogebra applets: one with the computer algebra view, which can be used as a calculator, and the other with algebra and geometry views.

There are custom functions which set the perspective of a geogebra applet and show the toolbar or algebra input line. These will probably be included in the geogebra extension eventually.

The statement contains two blank geogebra applets: one with the computer algebra view, which can be used as a calculator, and the other with algebra and geometry views.

There are custom functions which set the perspective of a geogebra applet and show the toolbar or algebra input line. These will probably be included in the geogebra extension eventually.

Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.