Find the formula for the function.
-A point P in the fourth quadrant lies on the graph of the function f(x) $f ( x ) = - x ^ { 2 }$ . Express the slope of the line joining P to the origin as a function of x.
A) $m=\frac{1}{x}$
B) m = x
C) m = -2x
D) m = -x

Question

Find the formula for the function.
-A point P in the fourth quadrant lies on the graph of the function f(x) $f ( x ) = - x ^ { 2 }$ . Express the slope of the line joining P to the origin as a function of x. 
A) $m=\frac{1}{x}$
B) m = x
C) m = -2x
D) m = -x

Quizplus · Accepted Answer

To find the slope of the line joining P to the origin, we need to find the coordinates of point P. Let P have coordinates (x, -x^2).
Then, the slope of the line joining P to the origin is given by:

m = ( -x^2 - 0 ) / ( x - 0 )
m = -x

Therefore, the correct option is D.

Find the Formula for the Function f(x)=−x2f ( x ) = - x ^ { 2 }f(x)=−x2

Find the Formula for the Function $f ( x ) = - x ^ { 2 }$