Exponentials
Hong Kong
Stage 4 - Stage 5
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 | $-3$−3 | $-2$−2 | $-1$−1 | $0$0 | $1$1 | $2$2 | $3$3 |
|---|---|---|---|---|---|---|---|
| $y$y | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
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.
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e
Is the function $y=-6^x$y=−6x, an increasing or decreasing function?
Increasing function
A
Decreasing function
B
Easy
3min
Consider the function $y=3\times2^x$y=3×2x.
Easy
4min
Consider the function $y=2^{x-2}$y=2x−2.
Easy
4min
Consider the function $y=3\times2^x+2$y=3×2x+2.
Easy
4min
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