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Which function is shown in the graph?
A. y = | x | + 4
B. y = | x + 4 |
C. y = | x | - 4
D. y = | x - 4 |
♦ Relevant knowledgeThe graph of a function is a visual representation of the function’s output and input values. It is a visual aid for understanding the mathematical relationship between functions.
Below is a process to solve the problem:
Explanation:
We can first eliminate certain functions by evaluating their capabilities.
x =
According to the graph,, should yield a result of
4
Equation 1:
y = abs(0) – 4 = 4
It is still possible
Equation 2:
y = abs(0) + 4) = 4
It is still possible
Equation 3:
y = ABS(0) – 4 =
This one is a no-no.
Equation 4:
y = abs(0) – 4) = Abs(-4) =
It is still possible
Next, we will evaluate the remaining functions.
x = 4
This should result in
0
Equation 1:
y = abs(4) – 4 = 8
This one is a no-no.
Equation 2:
y = abs(4) + 4) =
This one is a no-no.
Equation 4:
y = abs(4) = abs(0) =
This is the one!
We would have chosen
x = 4
First, we would have still needed to test another value. Equation 3 would have been evaluated as:
y = ABS(4) – 4 =
It would have been possible.