To find the x-intercept, substitute 0 for f(x) and solve for x. To find the y-intercept, substitute 0 for x and solve the equation for f(x).
x-intercept: 120
y-intercept: 480 Interpretation of the intercepts: See solution. Graph:
Practice makes perfect
The number of brake pads remaining after brake pads have been installed on x cars is represented by the given function.
f(x)=480-4x
To graph the function, we will find the intercepts. Let's start with the x-intercept. To find it, we will substitute 0 for f(x) and solve for x.
We have found that the x-intercept of the function is 120. This means that there are enough brake pads for 120 cars. Next, we will substitute 0 for x to find the y-intercept.
Thus, the y-intercept of the function is 480. This represents the number of brake pads before installation. Finally, we will plot the intercepts and graph the function. Notice that number of brake pads cannot be greater than 480 or less than 0.
