# Science:Math Exam Resources/Courses/MATH104/December 2013/Question 01 (m)

MATH104 December 2013
Other MATH104 Exams

### Question 01 (m)

Let ${\displaystyle f}$ be a differentiable function such that ${\displaystyle \displaystyle f(3)=2}$ and ${\displaystyle \displaystyle f'(3)=5.}$ If the tangent line to the graph of ${\displaystyle f}$ at ${\displaystyle a=3}$ is used to approximate ${\displaystyle f(x)}$, then the approximate solution for ${\displaystyle x}$ to the equation ${\displaystyle f(x)=0}$ is

(A) ${\displaystyle x=0.4}$.

(B) ${\displaystyle x=0.5}$.

(C) ${\displaystyle x=2.6}$.

(D) ${\displaystyle x=3.4}$.

(E) ${\displaystyle x=5.5}$.

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