Which is the function represented by the table?

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled f (x) with entries 3, 1, negative 1, negative 3.
f (x) = negative 2 x + 1
f (x) = x minus 2
f (x) = x + 4
f (x) = 3 x

To find the function, we can try to find the slope intercept form of the table.

Let's use the points (1,-1) and (2,-3) to find the slope.

Slope formula: rise/run

(-3 - - 1)/(2 - 1) = -2/1 = -2

Slope = -2x

Y-intercept = 1

y = -2x + 1

We can plug in a coordinate to check.

Let's use (2,-3).

-3 = 2x + b

Plug in the slope.

-3 = 2(-2) + b

-3 = -4 + b

4 + -3 = 1

b = 1

Therefore, the answer is f(x) = negative 2x + 1.

A

Step-by-step explanation:

In the table, we are given the points [ (-1, 3), (0, 1), (1, -1), (2, -3) ]

We need to find the slope.

y2-y1/x2-x1

1-3/0-(-1)

-2/1

-2

We are given the point (0, 1) so the y-intercept is 1.

y = -2x + 1

Note that f(x) = y

Best of Luck!

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