Considering the function H(x) = −x + 6
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, which statement is true?
Responses
The output value of the function is 8 when the input value is -2.
The output value of the function is 8 when the input value is -2.
The output value of the function is 7 when the input value is 1.
The output value of the function is 7 when the input value is 1.
The output value of the function is 4 when the input value is -2.
The output value of the function is 4 when the input value is -2.
The output value of the function is 6 when the input value is x.
The output value of the function is 6 when the input value is x.
To find the output value of the function H(x) = -x + 6, we need to substitute the input value into the function and simplify the expression.
Let's go through each statement and try substituting the given input value:
1) The output value of the function is 8 when the input value is -2.
To check this statement, we substitute x = -2 into the function:
H(-2) = -(-2) + 6 = 2 + 6 = 8
The output value is indeed 8 when the input value is -2, so this statement is true.
2) The output value of the function is 7 when the input value is 1.
Substituting x = 1 into the function:
H(1) = -(1) + 6 = -1 + 6 = 5 (not 7)
The output value is not 7 when the input value is 1, so this statement is false.
3) The output value of the function is 4 when the input value is -2.
Recall that we already verified this statement is true in statement 1.
4) The output value of the function is 6 when the input value is x.
This statement is incomplete since it does not specify a particular value for x. Instead, it is referring to the original function. So, the output value of the function is 6 for any input value x.
Therefore, the correct statement is:
The output value of the function is 8 when the input value is -2.
To find the output value of the function H(x) = -x + 6, you can substitute the given input values and evaluate the function.
1. The output value for the function when the input value is -2 is found by substituting x = -2:
H(-2) = -(-2) + 6
= 2 + 6
= 8
2. The output value for the function when the input value is 1 is found by substituting x = 1:
H(1) = -(1) + 6
= -1 + 6
= 5
3. The output value for the function when the input value is -2 is found by substituting x = -2:
H(-2) = -(-2) + 6
= 2 + 6
= 8
4. The statement "The output value of the function is 6 when the input value is x" is not specific enough because it doesn't provide a specific input value for x. Therefore, it is not true.
Based on the given function H(x) = -x + 6, the statement "The output value of the function is 8 when the input value is -2" is true.