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: 40
y-intercept: 10 Interpretation of the intercepts: See solution. Graph:
Practice makes perfect
Connor's distance from the finish line after x minutes is represented by the given function.
f(x)=10-1/4x
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 40. This means that after 40 minutes Connor reaches the finish line. Next, we will substitute 0 for x to find the y-intercept.
Thus, the y-intercept of the function is 10. This represents the distance from the finish line at the beginning of the race. Finally, we will plot the intercepts and graph the function. Notice that distance cannot be greater than 10 or less than 0.
