Answer:
a) f(1) = 3
b) f(-1) = -0.25
c) x = 0, 3
d) x = -0.75
e) domain [-2, 4]
range [-1, 3]
Explanation:
In this graph, f(x) is represented by the y-axis.
a) We can see that f(1) (the y-value when x = 1) is 3.
b) Looking at the graph, we can estimate f(-1) as about -0.25.
c) We need to find the x-values when the y-axis is at 1. We can see that there are two points at x = 0, 3.
d) Looking at the graph, we can estimate that f(x) = 0 around when x = -0.75.
e) The domain of a function is its set of x-values. We can see that f(x) spans from x = -2 to x = 4. That range in interval notation is: [-2, 4]
The range of a function is its set of y-values. We can see that f(x) spans from y = -1 to y = 3. That range in interval notation is: [-1, 3].