Im having trouble with this one:
Let f(x)= -3x - 7. Then the expression
$\displaystyle [f(x+h)-f(x)]/h$
can be written in the form Ah+Bx+C, where A, B, and C are constants.
Find A, B, and C
Can someone please help me out?
Thank you!
Im having trouble with this one:
Let f(x)= -3x - 7. Then the expression
$\displaystyle [f(x+h)-f(x)]/h$
can be written in the form Ah+Bx+C, where A, B, and C are constants.
Find A, B, and C
Can someone please help me out?
Thank you!
The expression $\displaystyle [f(x+h)-f(x)]/h$ is the slope of the line.
f(x)=-3x-7 is linear, the graph of a straight line.
$\displaystyle \frac{y_2-y_1}{x_2-x_1}=[f(x+h)-f(x)]/h$
$\displaystyle [f(x+h)-f(x)]/h=\frac{-3(x+h)-7+3x+7}{h}=\frac{-3x-3h+3x}{h}=-3$
A=0, B=0, C=-3.