Question

Calculate the slope of the graph of f(x)=4-x^2 if x<1 and 2x+1 if x>1 at each of the
following points:
a.P(-1,3)
b.P(2,5)

Answer 1

So you have a split function
f(x) = 4-x^2 for x<1
f(x) = 2x+1 for x > 1

(you don't say what happens at x = 1 )

first slope = -2x, second slope is a constant 2

a) (-1,3), since x<1, slope = -2(-1) = 2
b) (2,5), since x > 1, slope = 2