Answer:
Graph a
- f(-3) = 2
- f(1) = -2
- f(-3) = 2
Graph b
- f(5) = 3
- f(0) = 2
- f(-4) = 0
Explanation:
In the function notation f(x) = y:
- x is the input of the function.
- y is the output of the function.
Each (x, y) point on the graph of a function corresponds to a specific input-output pair for the function.
Graph a
To find the value of the input when the output is 2, we need to locate the point where y = 2. By examining the given graph, we observe that y = 2 when x = -3. Therefore:
To determine the value of f(1), we must find the corresponding output (y-value) when the input is set to x = 1. By examining the given graph, we observe that y = -2 when x = 1. Therefore:
To determine the value of f(-3), we must find the corresponding output (y-value) when the input is set to x = -3. By examining the given graph, we observe that y = 2 when x = -3. Therefore:
Graph b
To find the value of the input when the output is 3, we need to locate the point where y = 3. By examining the given graph, we observe that y = 3 when x = 5. Therefore:
To determine the value of f(0), we must find the corresponding output (y-value) when the input is set to x = 0. By examining the given graph, we observe that y = 2 when x = 0. Therefore:
To determine the value of f(-4), we must find the corresponding output (y-value) when the input is set to x = -4. By examining the given graph, we observe that y = 0 when x = -4. Therefore: