Answer
$f(x)=4x+1$
Work Step by Step
A function with $f^{\prime}(x)=4$ (for all x)
has form $f(x)=4x+c$,
where c is some constant.
The point $(0,1)$ is on the graph, so
$f(0)=1$
Since $f(0)=4(0)+c$,
it follows that $c=1$ and
$f(x)=4x+1$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 3 - Applications of Differentiation - 3.2 Exercises - Page 176: 70
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
