5-Minute Check Lesson 3-4.

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Presentation transcript:

5-Minute Check Lesson 3-4

3-4 Inverses LESSON ESSENTIAL QUESTION Determine inverses of relations and functions Graph functions and their inverses LESSON ESSENTIAL QUESTION How do we determine and graph inverse relations and functions? Inverse function Horizontal line test Inverse process

Graph y = x2 – 2 by making a table of values -2 < x < 2 Now create a new table by switching every x and y value. Is this considered a function? What is it’s equation?

Two relations are considered inverses if one contains (a,b) and the other contains (b,a).

Find the inverse of and graph both.

INVERSE FUNCTION TEST Determine if y=2x+1 and y = ½x - 1 are inverses.

Given y = 2x + 4, find its inverse. Graph the function and it’s inverse.

Given f(x) = (x+3)2 - 5 Determine if the inverse is a function from the graph. Find f-1(x) Graph both and check symmetry