For , which of the following lists all real –values where the graph of has a…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

For

g(x)=\dfrac{x^{2}-1}{x^{2}-4}

, which of the following lists all real

x

–values where the graph of

g

has a horizontal tangent and all real

x

–values where it has a vertical tangent? (a) Horizontal:

\{0\}

; Vertical:

\{-2,2\}

(b) Horizontal:

\{-2,0,2\}

; Vertical:

\varnothing

\{0\}

; Vertical:

\varnothing

(d) Horizontal:

\varnothing

; Vertical:

\{-2,2\}