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CanadaON
Grade 11

Graph exponentials

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.

Loading Graph...
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=2x2.

Easy
4min

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

Easy
4min
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Outcomes

11U.B.1.1

Graph, with and without technology, an exponential relation, given its equation in the form y = a^x (a > 0, a ≠ 1), define this relation as the function f(x) = a^x, and explain why it is a function

11U.B.2.3

Sketch graphs of y = af (k(x – d)) + c by applying one or more transformations to the graph of f(x) = a (a > 0, a ≠ 1), and state the domain and range of the transformed functions

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