Exponential Functions Lesson

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In this section, we will learn about exponential functions. Exponential functions are of the form: f(x) = a^{x}, where a > 0, a ≠ 1,
and x is any real number. We begin by learning how to graph an exponential function. To perform this operation, we create enough ordered pairs for a
good picture. We then plot the ordered pairs and sketch the graph. Ideally we would like to graph functions of this form using a graphing calculator
or graphing software. We then move on to learn how to solve exponential equations of the form: a^{x} = a^{y} : when a > 0 and a ≠
1, then x = y. We can use this property to setup the following steps. First, each side must have the same base. If the two sides do not have the same base,
we express each as a power of the same base. Second, we simplify the exponents as much as possible. Third, we set the exponents equal to each other and
solve the resulting equation. Fourth and final, we check our answer in the original equation.

Exponential Functions Resources:

Videos:

Khan Academy - Video
Patrick JMT - YouTube - Video
Virtual Nerd - Video
Text Lessons:

Varsity Tutors - Text Lesson
Purple Math - Text Lesson
LAMAR EDU - Text Lesson
Worksheets:

Kuta - Worksheet
Khan Academy - Worksheet
Khan Academy - Practice
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