Naming, Evaluating, & Interpreting Functions Quick Check

Question

2 of 52 of 5 Items

Question
Use the image to answer the question.

Two side-by-side shaded ovals labeled x and y each display a list of values. Four arrows point from the values in the left oval, x, to the values in the right oval, y.

Which equation describes the function shown in the mapping diagram?

(1 point)
Responses

f(y)=8x−12
f left parenthesis y right parenthesis equals 8 x minus Start Fraction 1 over 2 End Fraction

f(x)=12x−8
f left parenthesis x right parenthesis equals Start Fraction 1 over 2 End Fraction x minus 8

f(x)=8x−12
f left parenthesis x right parenthesis equals 8 x minus Start Fraction 1 over 2 End Fraction

f(y)=12x−8
f left parenthesis y right parenthesis equals Start Fraction 1 over 2 End Fraction x minus 8
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Answer 1

To determine which equation describes the function shown in the mapping diagram, we need to analyze the relationships between the values in the two shaded ovals (x and y) along with the arrows that connect them.

Given the options and knowing that a function usually takes input values from x and produces output values for y, we focus on identifying which equation correctly relates x and y.

Since I cannot see the image, I recommend looking for the relationship between the x values (input) to the corresponding y values (output) from the arrows. Check for any patterns or consistent changes (like addition, subtraction, multiplication, etc.) that occur as you move from x to y.

Once you’ve established the relationship, you can match it up to one of the listed equations. If the relationship looks like \( y = mx + b \) (linear form), then identify \( m \) (the slope) and \( b \) (the y-intercept) based on your observations, and see which equation aligns with your findings.

If you give me more specifics about the values in x and y or how they connect, I can help clarify further!