Question

Which function below has the smallest slope?

f(x)

f(x) = 2x − 3

g(x)

graph going through (0, negative 5) and (4, 3)
h(x)

x h(x)
−1 3
1 7
3 11
f(x)
g(x)
h(x)
The functions all have the same slope

Answer 1

The slope of f(x) is the x-coefficient, 2.

The slope of the other functions can be found by finding ∆y/∆x, the change in function value divided by the change in x value.

Slope of g(x) = (3 - (-5))/(4 - 0) = 8/4 = 2.

Slope of h(x) = (7 - 3)/(1 - (-1)) = 4/2 = 2.

The appropriate choice is

The functions all have the same slope

Answer 2

The slope of f(x) is the x-coefficient, 2.

The slope of the other functions can be found by finding ∆y/∆x, the change in function value divided by the change in x value.

Slope of g(x) = (3 - (-5))/(4 - 0) = 8/4 = 2.

Slope of h(x) = (7 - 3)/(1 - (-1)) = 4/2 = 2.

The appropriate choice is
The functions all have the same slope