Answer:
24.) f(-1) = 5
25.) f(4) = 1
26.) f(-3) = - 7
27.) f(x) = 9, x = 1
Step-by-step explanation:
In the function notation, f(x): f is the function name, and the x inside the parenthesis is your input variable. Additionally, remember that in functions, the domain of a given relation is the set of input values (x-coordinates). The input values provide the output.
24.) Find f(-1)
The function notation, f(- 1) means that the input value, x = -1. Hence, in order to determine the value of f(- 1), use the graph and find the corresponding y-coordinate of x = -1.
Using the graph, it shows that the corresponding y-coordinate of x = -1 is y = 5. Therefore, f( - 1) = 5.
25.) Find f(4)
Similarly, use the graph to locate the corresponding y-coordinate of the domain value of x = 4.
The graph shows that the corresponding y-coordinate of x = 4 is y = 1. Therefore, f(4) = 1.
26.) Find f(-3)
The graph shows that the corresponding y-coordinate of x = -3 is y = -7. Therefore, f(3) = -7.
27.) If f(x) = 9, find x
This part of the problem asks for the corresponding x-coordinate of the y-coordinate, y = 9. Similar to the previous parts, use the graph and locate the y-coordinate of 9, which shows that its corresponding x-coordinate, x = 1.
This gives you an ordered pair of (1, 9) which happens to be the graph's vertex ⇒ the maximum point of the parabola when it is downward-facing.
Therefore, when f(x) = 9, x = 1. This can be expressed as: f( 1 ) = 9
