X f(x)

Mathematics

1 answer:

adelina 88 [10]3 years ago

6 0

Answer:

Option C

Step-by-step explanation:

From the table give in the picture,

Let the linear function represented by the table is,

f(x) = mx + b

Here, m = Slope of the line

b = y-intercept

Slope of a line passing through two points (-2, 0) and (1, 3) will be,

m = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{3-0}{1+3}$

= 1

Equation of the function will be,

f(x) = x + b

Since, a point (1, 3) lies on he given function,

3 = 1 + b

b = 3 - 1

b = 2

Therefore, function is → f(x) = x + 2

Option C will be the correct option.

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