Use the following functions to solve each:
f(x)= 2x - 3 g(x)= -4x -1
What is f(3)?
Which function has a steeper slope?
To find f(3), we need to substitute 3 into the function f(x) and evaluate the expression:
f(3) = 2(3) - 3
f(3) = 6 - 3
f(3) = 3
Therefore, f(3) equals 3.
To determine which function has a steeper slope, we compare the coefficients of x in each function. The coefficient of x represents the slope of the line.
For f(x) = 2x - 3, the coefficient of x is 2.
For g(x) = -4x - 1, the coefficient of x is -4.
The function with the steeper slope is g(x) = -4x - 1, as the coefficient of x (-4) is larger in magnitude compared to 2.