Topics
6. Exponential & Logarithmic Functions
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United States of AmericaVirginia
Algebra 2

6.04 Compare functions across representations

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Determine which function has the greatest $y$y-value.

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A

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B
Medium
< 1min

The graph of the exponential function $P$P, given by $y=-4^x$y=−4x is shown below.

Medium
3min

Consider two functions $d\left(x\right)$d(x) and $h\left(x\right)$h(x) shown in the table of values and graph.

Medium
1min

The exponential function $P$P is given by $y=4^x+5$y=4x+5 and the exponential function $Q$Q is given by $y=-10^x+3$y=−10x+3.

Hard
3min
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Outcomes

A2.F.1

The student will investigate, analyze, and compare square root, cube root, rational, exponential, and logarithmic function families, algebraically and graphically, using transformations.

A2.F.1a

Distinguish between the graphs of parent functions for square root, cube root, rational, exponential, and logarithmic function families.

A2.F.1e

Compare and contrast the graphs, tables, and equations of square root, cube root, rational, exponential, and logarithmic functions.

A2.F.2

The student will investigate and analyze characteristics of square root, cube root, rational, polynomial, exponential, logarithmic, and piecewise-defined functions algebraically and graphically.

A2.F.2a

Determine and identify the domain, range, zeros, and intercepts of a function presented algebraically or graphically, including graphs with discontinuities.

A2.F.2b

Compare and contrast the characteristics of square root, cube root, rational, polynomial, exponential, logarithmic, and piecewise-defined functions.

A2.F.2c

Determine the intervals on which the graph of a function is increasing, decreasing, or constant.

A2.F.2d

Determine the location and value of absolute (global) maxima and absolute (global) minima of a function.

A2.F.2e

Determine the location and value of relative (local) maxima or relative (local) minima of a function.

A2.F.2g

Describe the end behavior of a function.

A2.F.2h

Determine the equations of any vertical and horizontal asymptotes of a function using a graph or equation (rational, exponential, and logarithmic).

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