Question

Use the table to answer the question

x
f(x)

–2 –11
–1 –2
0 1
Determine which of the given functions was used to create this input-output table.



(1 point)
Responses

f(x)=3x+1
f of x is equal to 3 x plus 1

f(x)=3x2+1
f of x is equal to 3 x squared plus 1

f(x)=6x+1
f of x is equal to 6 x plus 1

f(x)=−3x2+1

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine which function was used to create this input-output table, we need to check if the values in the table match the function when we substitute x into it.

Let's test f(x) = 3x+1 with the given values:
f(-2) = 3(-2) + 1 = -6 + 1 = -5 (not -11)
f(-1) = 3(-1) + 1 = -3 + 1 = -2 (matches)
f(0) = 3(0) + 1 = 1 (not 1)

So, f(x) = 3x + 1 was not the function used to create this input-output table.

f(x) = 3x^2 + 1 is a quadratic function, so we can eliminate it.

Let's test f(x) = 6x+1 with the given values:
f(-2) = 6(-2) + 1 = -12 + 1 = -11 (matches)
f(-1) = 6(-1) + 1 = -6 + 1 = -5 (not -2)
f(0) = 6(0) + 1 = 1 (matches)

So, f(x) = 6x + 1 was the function used to create this input-output table.