Question

Use the graph of y = f(x) to answer each question A. What is the value of f(0)?B. What is the value of f(3)? C. For what x-value or x-values does f(x) equal 3D. For what x-value or x-values does f(x) equal 0

Answer 1

We use the plot given to determine the values of f(x).

a. For f(0), this means that we have x = 0. Based on the plot, at x = 0, the value of y is 2. Hence, f(0) = 2.

b. For f(3), this means that we have x = 3. Based on the plot, at x = 3, the value of y is -2. Hence, f(3) = -2.

c. If f(x) = 3, our y value is 3. The x value that corresponds to the value of y =3 is 6. Hence, x = 6.

d. If f(x) = 0, our y value is 0. The x values that correponds to the value of y = 0 are -2, 3/2, and 5. Hence, x = -2, 3/2, and 5.