DP Mathematics: Analysis and Approaches Questionbank

Write down the value of $f\prime \left(4\right)$.

Find $f\left(4\right)$.

Find $h\left(4\right)$.

Hence find the equation of the tangent to the graph of $h$ at $x=4$.

Find the equation of $L$.

The line $L$ passes through the point $(k, 2)$.

Find the value of $k$.

Assuming Kaia’s annual salary can be approximately modelled by the equation $S=ax+b$, show that Kaia had a higher salary than Gemma in the year 2021, according to the model.

Find the equation of $L$.

Find the equation of $L$ in the form $y=mx+c$.

Find the $x$-coordinate of point A.

Sketch the graph of y = f (x), for −4 ≤ x ≤ 3 and −50 ≤ y ≤ 100.

Use your graphic display calculator to find the equation of the tangent to the graph of y = f (x) at the point (–2, 38.75).

Give your answer in the form y = mx + c.

Sketch the graph of the function g (x) = 10x + 40 on the same axes.