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Teaching Algebra with Manipulatives

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NAME ______________________________________________ DATE ____________ PERIOD ____<br />

<strong>Algebra</strong> Activity<br />

(Use <strong>with</strong> <strong>Algebra</strong> 2, Lesson 7-8)<br />

Exploring Iteration<br />

1. Graph f(x) x 3 and its inverse.<br />

y<br />

O<br />

x<br />

Equation of the inverse _____________<br />

Is the inverse a function? ___________<br />

Why or why not? ___________________<br />

___________________________________<br />

Is it a transformation? ______________<br />

Axis of symmetry __________________<br />

2. Graph f(x) x 2 3 and its inverse.<br />

y<br />

O<br />

x<br />

Equation of the inverse _____________<br />

Is the inverse a function? ___________<br />

Why or why not? ___________________<br />

___________________________________<br />

Is it a transformation? ______________<br />

Axis of symmetry __________________<br />

3. Graph f(x) 2x 2 1 and its inverse.<br />

y<br />

O<br />

x<br />

Equation of the inverse _____________<br />

Is the inverse a function? ___________<br />

Why or why not? ___________________<br />

___________________________________<br />

Is it a transformation? ______________<br />

Axis of symmetry __________________<br />

<strong>Algebra</strong> 2—Chapter 7<br />

Use your own grid paper and graph each function and its inverse.<br />

a. f(x) 5 b. f(x) 3x 1 c. f(x) (x 2) 2 d. f(x) x<br />

4. Is the inverse of a linear equation always a function? __________________________________<br />

5. Is the inverse of any function always a function? ______________________________________<br />

6. Why or why not? ___________________________________________________________________<br />

7. Will the axis of symmetry always be the same? _______________________________________<br />

8. Why or why not? ___________________________________________________________________<br />

© Glencoe/McGraw-Hill 257 <strong>Teaching</strong> <strong>Algebra</strong> <strong>with</strong> <strong>Manipulatives</strong>

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