Consider the function $f\left(x\right)=2$f(x)=2 drawn below.

Calculate the average rate of change between $x=3$x=3 and $x=6$x=6.

State the gradient of the tangent at the point $x=3$x=3.

Consider the function $f\left(x\right)=2x+3$f(x)=2x+3 drawn below.

Consider the function $f\left(x\right)=-\frac{\left(x-8\right)^2}{3}+7$f(x)=−(x−8)23+7.

Consider the function $f\left(x\right)=-\frac{\left(x-4\right)^2}{2}+6$f(x)=−(x−4)22+6.

Apply differentiation and anti-differentiation techniques to polynomials

Apply calculus methods in solving problems