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: 2
y-intercept: -6 Interpretation of the intercepts: See solution. Graph:
Practice makes perfect
The air temperature after x hours is represented by the given function.
f(x)=3x-6
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 2. This means that temperature reaches 0°C after 2 hours. Next, we will substitute 0 for x to find the y-intercept.
Thus, the y-intercept of the function is -6. This represents the temperature at sunrise. Finally, we will plot the intercepts and graph the function. Notice that temperature cannot be less than -6 because time cannot be less than 0.
