Exponential functions and their graphsEdexcel International A Level Maths: Mind map

Exam questions on Exponential functions and their graphs

1. The curve $C$ has equation $y=a^x$, where $a$ is a positive constant with $a\neq1$. $C$ passes through the point $(2,9)$.
   Find the $x$-coordinate of the point on $C$ with $y$-coordinate $27$.2 marks
2. The curve $D$ has equation $y=\left(\frac25\right)^x$.
   Explain why $D$ does not meet the $x$-axis.2 marks
3. The curve $y=a^x$, where $a$ is a positive constant and $a\neq1$, passes through the points $\left(-2,\frac1{25}\right)$ and $P(k,125)$.
   Find the value of $a$.3 marks