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 x=3 into the function f(x):

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

Therefore, f(3) = 3.

To determine which function has a steeper slope, we compare the coefficients of x in the two functions.

For f(x), the coefficient of x is 2, meaning that for every 1 unit increase in x, the corresponding increase in y is 2.

For g(x), the coefficient of x is -4, meaning that for every 1 unit increase in x, the corresponding decrease in y is 4.

Since the absolute value of the coefficient of g(x) is larger than that of f(x), g(x) has a steeper slope.