# Science:Math Exam Resources/Courses/MATH110/April 2016/Question 09 (a)

MATH110 April 2016
Other MATH110 Exams

### Question 09 (a)

Suppose that the function ${\displaystyle f}$ is differentiable for all ${\displaystyle x}$ and that ${\displaystyle f(-1)=-1}$ and ${\displaystyle f(2)=5}$.

(a) Prove that there is a point on the graph of ${\displaystyle f}$ at which the tangent line is parallel to the line with the equation ${\displaystyle y=2x}$. Make sure you state what theorem(s) you use to support your claim and why they apply.

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