9. Logarithms and Exponentials
Interactive practice questions
Consider the equation $y=3^x$y=3x.
a
Complete the table of values.
| $x$x | $-2$−2 | $-1$−1 | $0$0 | $1$1 | $2$2 |
|---|---|---|---|---|---|
| $y$y | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
b
Is $y=3^x$y=3x an increasing function or a decreasing function?
Increasing
A
Decreasing
B
c
How would you describe the rate of increase of $y$y?
As $x$x increases, $y$y increases at a faster and faster rate.
A
As $x$x increases, $y$y increases at a constant rate.
B
As $x$x increases, $y$y increases at a slower and slower rate.
C
Easy
3min
Consider the function $y=3^{-x}$y=3−x.
Easy
3min
Consider the graph of the equation $y=4^x$y=4x.
Easy
1min
Consider the function $y=9^x$y=9x.
Easy
< 1min
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