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Big Ideas Math Algebra 2, 2014

BI

Big Ideas Math Algebra 2, 2014 View details

1. Parent Functions and Transformations

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Exercise 56 Page 10

Does substituting the point into the equation result in a true statement?

No.

Practice makes perfect

When determining if a given point satisfies an equation, we substitute the point into the equation and simplify. If the resulting statement is true, then the point is contained in the solution set of the equation.

Let's test to see if (-2,-5) is a solution to the given equation.

f(x)=|x|-3

x= -2, f(x)= -5

-5? =| -2|-3

|-2|=2

-5? =2-3

Subtract term

-5=-1

Our resulting statement, -5=-1, is not true. Therefore, the point (-2,-5) is not a solution of the equation.

Subchapter links

Communicate Your Answer p.3

Monitoring Progress p.4-7

Exercises p.8-10