Use the graph of the function to estimate:
a. f(2)
b. f(–4)
c. All x such that f(x) = 0
To estimate the values of the function at specific points and find the values of x that make the function equal to 0, we can use the graph of the function.
a. To estimate f(2), locate the point on the graph that corresponds to x = 2. Then, find the corresponding y-value of that point on the graph. This y-value is the estimate of f(2).
b. To estimate f(-4), locate the point on the graph that corresponds to x = -4. Then, find the corresponding y-value of that point on the graph. This y-value is the estimate of f(-4).
c. To find the x-values for which f(x) = 0, look for the points on the graph where the function intersects the x-axis (the y-coordinate is equal to 0). These points correspond to the x-values for which f(x) = 0.
By visually inspecting the graph, you can estimate the values of f(2) and f(-4), as well as identify the x-values for which f(x) = 0.