11.02 Exponential graphs (Enrichment)
Interactive practice questions
Consider the equation $y=4^x$y=4x.
Complete the table of values.
| $x$x | $-3$−3 | $-2$−2 | $-1$−1 | $0$0 | $1$1 | $2$2 | $3$3 |
|---|---|---|---|---|---|---|---|
| $y$y | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
Using some of these points, graph the equation $y=4^x$y=4x on the number plane.
Which of the options completes the statement?
As $x$x increases, the $y$y-values
increase
decrease
stay the same
Which of the options completes the statement?
As $x$x decreases, the $y$y-values
increase
decrease
stay the same
Which of the following statements is true?
The curve crosses the $x$x-axis at a very small $x$x-value that is beyond the scale of the graph shown.
The curve never crosses the $x$x-axis.
The curve crosses the $x$x-axis at exactly one point on the graph shown.
At what value of $y$y does the graph cross the $y$y-axis?
Consider the function $y=5^x$y=5x.
Consider the function $y=10^x$y=10x.
Consider the function $y=2^x$y=2x.