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 odd.
$\left( - \frac { 9 } { 7 } , - 4 \right)$
A) $\left( \frac { 9 } { 7 } , 4 \right)$
B) $\left( - \frac { 9 } { 7 } , 4 \right)$
C) $\left( - \frac { 9 } { 7 } , - 4 \right)$
D) $\left( \frac { 9 } { 7 } , - 4 \right)$
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 odd. 
 $\left( - \frac { 9 } { 7 } , - 4 \right)$  
A) $\left( \frac { 9 } { 7 } , 4 \right)$
B)  $\left( - \frac { 9 } { 7 } , 4 \right)$
C)  $\left( - \frac { 9 } { 7 } , - 4 \right)$
D)  $\left( \frac { 9 } { 7 } , - 4 \right)$
E)None of the above

Quizplus · Accepted Answer

For an odd function, $f(-x) = -f(x)$. Given a point $\left( - \frac { 9 } { 7 } , - 4 \right)$, its symmetric point across the origin would be $\left( \frac { 9 } { 7 } , 4 \right)$, reflecting the property of odd functions.

Find the Coordinates of a Second Point on the Graph (−97,−4)\left( - \frac { 9 } { 7 } , - 4 \right)(−79​,−4)

Find the Coordinates of a Second Point on the Graph $\left( - \frac { 9 } { 7 } , - 4 \right)$