Question

For the function $f$ graphed in the $xy-$plane above, if $f(-2.5)=k,$ then find $f\left(2k\right)$?

• A. $0$
• B. $1$
• C. $1.5$
• D. $2$
• E. $0.5$

Answer 1

Answer: (A)

$0$

From the graph, $y=1$ at $x=-2.5$

$⟹f(-2.5)=1$

Given that $f(-2.5)=k$

$\therefore k=1$

Hence $f\left(2k\right)=f\left(2\right)$

When $x=2,y=0$

$\therefore f\left(2k\right)=0$