Methods2025 NHT Exam 1 · Q5Tech-free4 marks

Intersection and equal gradients of exponential graphs

Let $f: R \to R, f(x) = e^{2x}$ and $g : R \to R, g (x) =^{}$ .

Find the $x$ -value of the point of intersection of the graphs of $y = f(x)$ and $y = g(x)$ .

2 marks

Hints, answer checking and worked solutions come with a Season Pass.

Find the $x$ -value where the graphs of $y = f(x)$ and $y = g(x - 1)$ have equal gradients.

2 marks

Hints, answer checking and worked solutions come with a Season Pass.