Question

Which function below has the largest slope?

Answer 1

f(x) as a linear equation:

gradient = (12-4)/(4-2) = 4

y - 4 = 4(x - 2)

y = 4x - 4

Therefore f(x) = 4x - 4

g(x) = 10x - 4

Since it already started at 10 and it increases by one every level (x):

h(x) = x + 10

Therefore, since g(x) has the largest gradient (10x), it has the largest slope