find the slope of the secant line through the points (4, f(4)) and (4+h, f(4+h)) on the graph y=f(x)?

Question

f(x)=1x^2

Answer 1

You should remember how to do this in the future because the limit of this expression as h approaches 0 gives you the derivative or slope of f(x) at x = 4.

[ f(4 + h) - f(4) ] / [ (4 + h) - 4 ]

[ (4 + h)^2 - 4^2 ] / h

(h^2 + 8h + 16 - 16) / h

h + 8