# ACJC Tutorial 11 Q1

## Timothy Gan

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##### ACJC Tutorial 11 Q1

The diagram below shows the graph of $y=\text{f}'(x)$, the derivative graph of $y=\text{f}(x)$. The graph has a horizontal asymptote at $y=1$, a minimum point at $(2,-1)$ and a point of inflexion at $(3,0)$.

Using the graph above,

(i)

state the range of values of $x$ for which the graph of $y=\text{f}(x)$ is concave downwards.

[1]

(ii)

state the value(s) of $x$ for the stationary points of $y=\text{f}(x)$, determining the nature of each stationary point(s).

[3]

(iii)

sketch $y=\text{f}’’(x)$, , stating clearly the $x$-coordinate of the turning point(s) and the $x$-intercept(s).

[3]

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