Question

Which is the function represented by the table?

Answer 1

Answer:

its the first one on the list bc when x is 0 you get f(x) = 1 and thats the only fjnction that does that with all of them.

Answer 2

Answer:

f(x) = - 2x + 1

Step-by-step explanation:

The equation of a linear function in slope- intercept form is

f(x) = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (2, - 3) ← 2 ordered pairs from the table

m = $\frac{-3-3}{2-(-1)}$ = $\frac{-6}{2+1}$ = $\frac{-6}{3}$ = - 2

The function crosses the y- axis at (0, 1 ) ⇒ c = 1

f(x) = - 2x + 1