Exponential Functions

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

a

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

b

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

$x$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`=−6`x`.

d

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

Loading Graph...

e

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

Increasing function

A

Decreasing function

B

Increasing function

A

Decreasing function

B

Easy

Approx 4 minutes

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

Apply graphical methods in solving problems