Thriving Scholars TMUA Full Mock Test 1 Paper 1 · Question 14

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Thriving Scholars TMUA Full Mock Test 1 Paper 1 · Q14

Paper 1GeometryFunctions & graphs

The function $f$ is defined by $f(x)=\dfrac{x}{x+2}$ . What points $(x,y)$ on the graph of $f$ have the property that the line tangent to $f$ at $(x,y)$ has slope $\dfrac12$ ?

(0,0)

only

\left(\dfrac12,\dfrac15\right)

only

(0,0)

and

(-4,2)

(0,0)

and

\left(4,\dfrac23\right)

EThere are no such points.

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