Question

12 the rule for a function of x is:
multiply the input value by 2, then subtract 6
the data set for the input values of the function, x, is (-1,1,3,5). which value is one of the output values, y ?
a -2
b -1
c 2
d 4

Explanation:

Step1: Define the function

The function rule is: multiply input \( x \) by 2, then subtract 6. So the function is \( y = 2x - 6 \).

Step2: Test each input value

• For \( x = -1 \): \( y = 2(-1) - 6 = -2 - 6 = -8 \)
• For \( x = 1 \): \( y = 2(1) - 6 = 2 - 6 = -4 \)
• For \( x = 3 \): \( y = 2(3) - 6 = 6 - 6 = 0 \)
• For \( x = 5 \): \( y = 2(5) - 6 = 10 - 6 = 4 \)

Step3: Match with options

Among the options, 4 (from \( x = 5 \)) is an output value.

Answer:

D. 4