Exponential Functions

Identify and describe characteristics of a^x and a^-x

Single transformations

Multiple transformations

State domain and range of exponentials

Graph exponentials

Find and use an exponential equation from a written context

Find and use an exponential equation I

Find and use an exponential equation II

Contextual problems with exponentials I

Contextual problems with exponentials III

Rewrite an exponential expression into a given form

Contextual problems with exponentials II

Compare exponentials with linear and quadratic functions

Compare exponential models and answer relational questions

Grade 11

Multiple transformations

Interactive practice questions

Answer the following.

a

Determine the $y$y-intercept of $y=2^x$y=2x.

b

Hence or otherwise determine the $y$y-intercept of $y=2^x-2$y=2x−2.

c

Determine the horizontal asymptote of $y=2^x$y=2x.

d

Hence or otherwise determine the horizontal asymptote of $y=2^x-2$y=2x−2.

Easy

1min

Consider a graph of $y=5^x$y=5x.

Easy

1min

Consider a graph of $y=4^x$y=4x.

Easy

1min

Consider a graph of $y=3^x$y=3x.

Easy

1min

Outcomes

11U.B.1.4

Determine, through investigation, and describe key properties relating to domain and range, intercepts, increasing/decreasing intervals, and asymptotes for exponential functions represented in a variety of ways

11U.B.2.2

Determine, through investigation using technology, the roles of the parameters a, k, d, and c in functions of the form y = af(k(x – d)) + c, and describe these roles in terms of transformations on the graph of f(x) = a^x (a > 0, a ≠ 1)

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