Answer:
To solve and graph the given function, we need to evaluate it for different values of x and plot the corresponding points on a graph.
a. To find f(-3), we substitute -3 into the function:
f(-3) = -3 + 2 = -1
b. To find f(1), we substitute 1 into the function:
f(1) = 2(1) + 5 = 7
c. To find f(10), we substitute 10 into the function:
f(10) = -10 + 1 = -9
d. To find f(-5), we substitute -5 into the function:
f(-5) = -5 + 2 = -3
Now let's plot these points on a graph.
For x < 0:
- We have the point (-3, -1) since f(-3) = -1.
For 0 ≤ x ≤ 2:
- We have the point (1, 7) since f(1) = 7.
For x > 2:
- We have the point (10, -9) since f(10) = -9.
- We also have the point (-5, -3) since f(-5) = -3.
Plotting these points on a graph, we can see that the function has three different linear segments for different ranges of x. It is a broken-line graph.
I hope this helps! Let me know if you have any further questions.