Pearson Edexcel IAL Mathematics P2.5.1 y = ax & its graph

Practise sketching y=a^x and transformed exponential graphs, reading intercepts, asymptotes and meanings in simple models.

Exam points

sketch y=a^x or y=a^{-x}+c with the correct shape and asymptote

[Maximum number: 3]

Sketch the curve with equation

y=a^{-x}+4

where a is a constant and a>1
On your sketch show
- the coordinates of the point of intersection of the curve with the y-axis
- the equation of the asymptote to the curve.

Table for Question P2.5.1 - y = ax and its graph question 1 — Edexcel A-Level Mathematics AS

The table above shows corresponding values of x and y for $y=3^{-\frac{1}{2} x}+4$
The values of y are given to four significant figures, as appropriate.
Using the trapezium rule with all the values of y in the table,

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P2.5.1 - y = ax and its graph question 1