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Section 3.4
Library of Functions;
Piecewise-defined Functions
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
The Square Root Function
Copyright © 2013 Pearson Education, Inc. All rights reserved
3 3(a) f x x x f x This means the function is odd and symmetric with respect to the origin.
3(b) 0 0 0f x and y intercepts are both 0.
Copyright © 2013 Pearson Education, Inc. All rights reserved
The Cube Root Function
Copyright © 2013 Pearson Education, Inc. All rights reserved
(a) f x x x f x This means the function is even and symmetric with respect to the y-axis.
(b) 0 0 0f x and y intercepts are both 0.
Copyright © 2013 Pearson Education, Inc. All rights reserved
The Absolute Value Function
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
WISE
FUNCTIONS
Copyright © 2013 Pearson Education, Inc. All rights reserved
(a) 0 0 1 1f 1 2f 2 2 (2) 4f
(b) The domain of is [ 1, )f
(d) The range of is (0, )f Copyright © 2013 Pearson Education, Inc. All rights reserved
(a)
(b)
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved