New Zealand
Level 7 - NCEA Level 2

# Finding Exponential Equations from Graphs or Data

## Interactive practice questions

Consider the plotted points.

a

Complete the table of values for the given points.

 $x$x $y$y $1$1 $2$2 $3$3 $4$4 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

Identify the common ratio between consecutive $y$y values.

c

State the equation relating $x$x and $y$y.

Easy
Approx 2 minutes

Consider the given table of values.

Find the equation of the curve in the form $y=a^x$y=ax.

The graph of $f\left(x\right)=9^x$f(x)=9x is given below. Another exponential function, $g\left(x\right)$g(x), is increasing at exactly the same rate as $f\left(x\right)$f(x), but has a different $y$y-intercept. Which of the following could be the equation of function $g\left(x\right)$g(x)?

### Outcomes

#### M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

#### 91257

Apply graphical methods in solving problems