Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even.
$\left( - \frac { 1 } { 2 } , 5 \right)$
A) $\left( - \frac { 1 } { 2 } , - 5 \right)$
B) $\left( \frac { 1 } { 2 } , 5 \right)$
C) $\left( \frac { 1 } { 2 } , - 5 \right)$
D) $\left( - \frac { 1 } { 2 } , 5 \right)$
E)None of the above

Question

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even. 
 $\left( - \frac { 1 } { 2 } , 5 \right)$  
A) $\left( - \frac { 1 } { 2 } , - 5 \right)$
B) $\left( \frac { 1 } { 2 } , 5 \right)$  
C) $\left( \frac { 1 } { 2 } , - 5 \right)$  
D) $\left( - \frac { 1 } { 2 } , 5 \right)$  
E)None of the above

Quizplus · Accepted Answer

For an even function, $f(x) = f(-x)$. Therefore, if $\left( - \frac { 1 } { 2 } , 5 \right)$ is a point on the graph, then $\left( \frac { 1 } { 2 } , 5 \right)$ must also be a point on the graph, as it reflects across the y-axis.

Find the Coordinates of a Second Point on the Graph (−12,5)\left( - \frac { 1 } { 2 } , 5 \right)(−21​,5)

Find the Coordinates of a Second Point on the Graph $\left( - \frac { 1 } { 2 } , 5 \right)$