NZ Level 7 (NZC) Level 2 (NCEA)
Exponential Graph

## Interactive practice questions

Consider the function $y=-6^x$y=6x.

a

Find the $y$y-intercept of the curve $y=-6^x$y=6x.

b

Fill in the table of values for $y=-6^x$y=6x.

 $x$x $y$y $-3$−3 $-2$−2 $-1$−1 $0$0 $1$1 $2$2 $3$3 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
c

Find the horizontal asymptote of the curve $y=-6^x$y=6x.

d

Now sketch a graph of the curve $y=-6^x$y=6x.

e

Is the function $y=-6^x$y=6x, an increasing or decreasing function?

Increasing function

A

Decreasing function

B

Increasing function

A

Decreasing function

B
Easy
Approx 4 minutes

Consider the function $y=3\times2^x$y=3×2x.

Consider the function $y=2^{x-2}$y=2x2.

Consider the function $y=3\times2^x+2$y=3×2x+2.

### 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