1. f(-2) = -4. The output value for f(-2) is -4.
2. h(2) = -1. One value of x for which h(x) = -4 is 3.
Part 1.
In Mathematics, a function is a special type of rule in which each input value has only one possible output value.
Since the graph contains the point (-2, -4), the output value of the function when x is -2 must be -4. In function notation, this can be written as follows;
f(-2) = 1
Part 2.
Since the graph contains the point (2, -1), the output value of the function when x is 2 must be -1. In function notation, this is given by;
h(2) = -1.
Additionally, the graph contains the point (3, -4), the input value of the function when h(x) is -4 must be 3. In function notation, this can be written as follows;
h(3) = -4.
Complete Question:
1. The graph of a function f is shown below.
Find f(-2).
2. The graph of a function h is shown below.
Find h(2) and find one value of x for which h(x) = -4.