Exponential Functions

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Presentation transcript:

Exponential Functions Honors Precalculus October 26, 2016 Mrs. Agnew

Essential Question Essential Vocabulary What are exponential and logarithmic functions and how do you graph them? Essential Vocabulary Exponential Function Logarithmic Function Domain Inverse

Exponential Functions What is an exponential function? Form of an exponential function… f(x) = a(b)x Exponential Growth vs. Decay

Graphs of Exponentials Use the equation to graph an exponential function y = abx - h + k. a represents y-intercept (before shift) k represents horizontal asymptote h represents horizontal shift Identify domain, range, and horizontal asymptote of graphs. Examples…

Writing Exponential Functions You can write an exponential function when given two points on the graph of the function. Plug the x and y values of both points into the form for an exponential equation: f(x) = a(b)x Then, solve one of the equations for a or b and use substitution.

Inverse of Exponentials How do you find the inverse of a function? Let’s graph y = 2x and its inverse. The inverse of exponential functions are logarithmic functions. Examples…

Homework: page 284 – 286 #33 – 40, 45 – 50, 85, 87, 89, 103, 105