What can you call the points shown on the diagram below?

A function, \(f\), is defined by \(f\left(x\right)=x^{2}+6x+3\)

Find the x-intercepts of the graphs of \(f\)

Which of these function contain a vertical asymptote? (there is more than one correct answer)

Tick the answers below which are most commonly required when you are asked to "sketch a graph."

Tick the answers below which are most commonly required when you are asked to "draw a graph."

The formuala, \(A=\pi{r}^{2}+\frac{100}{r}\), is given for the surface area, \(A\), of a cylinder with radius, \(r\).

Find the local minimum point which minimises the surface area.

Below is a sketch of the function, \(f\left(x\right)=\frac{1}{3}x^{3}+\frac{3}{4}x^{2}-x-1\)

Identify what is missing from the skecth below:

Consider the function, \(f\left(x\right)=3^{x}+\frac{1}{x+2}\)

Sketch the grap of \(y=f(x)\) for \({-2}\leq{x}\leq{2}\) and \({-2}\leq{y}\leq{10}\).

Consider the functions \(f\left(x\right)=x+2\) and \(g\left(x\right)=3^{x}-3\)

Solve \(f\left(x\right)=g\left(x\right)\).

Finish the sentence -

A straight line can intersect a quadratic function in: