Use the following functions to solve each:

Question

f(x)= 2x - 3 g(x)= -4x -1

What is f(3)?

Which function has a steeper slope?

Answer 1

To find f(3), we substitute 3 into the function f(x):

f(3) = 2(3) - 3
f(3) = 6 - 3
f(3) = 3

So, f(3) equals 3.

To determine which function has a steeper slope, we compare the coefficients of the x term in each function's equation.

The coefficient of the x term in f(x) is 2, while the coefficient of the x term in g(x) is -4.

Since the coefficient of the x term in g(x) (-4) is larger than the coefficient of the x term in f(x) (2), g(x) has a steeper slope.