Day 10 examples u1w14
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This document provides examples of solving radical equations both algebraically and graphically. It shows setting a radical equation equal to zero and solving for the roots, which are also the x-intercepts when graphing the equation. It then provides mental math practice problems involving function transformations and compositions as well as a list of test review problems.
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Day 10 examples u1w14
- 1. Solving Radical Equations Ex. a) Determine the roots of √x + 5 - 3 = 0 b) Find the x-intercepts by graphing The roots of a radical equation are the same as the x-intercepts of the graph of the equation.
- 2. Ex. a) Determine the roots of √x + 2 - 4 = 0 b) Find the x-intercepts by graphing
- 3. and graphically. √x + 5 = x + 3 algebraically
- 4. Mental Math 1. If (3, -2) is a point on the graph of f(x). What point must be on the graph of y = 2f(x +1)? 2. Given f(x) = {(1, 3),(2, 5),(4, -1)}, state the domain of the new function after f(x) is reflected through the line y = x. 3. What is the equation of f-1(x) if f(x) = 2x - 6? 4. Which transformation occurs first in y = -2|x| +1 ? 5. Where will the graph of √x have invariant points?
- 5. Test Review p.255 #1-3, 5, 7, 9-11 p.146 #1 and worksheet