College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.1 - Functions - 2.1 Exercises - Page 193: 52


Domain: $(-\infty,\ \infty)$ Range: $[4, \infty)$

Work Step by Step

We are given: $f(x)=5x^{2}+4$ The domain consists of all values that $x$ is allowed to be. In this case, there are no restrictions on $x$, so the domain is all real numbers. Domain: $(-\infty,\ \infty)$. The range consists of all values that $y$ can be. Since this is a graph of a parabola that starts at $y=4$ and goes up, the range is all real numbers greater than or equal to $4$. Range: $[4, \infty)$.
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