X f(x) -2 0
5. Which function matches the function table at the right?
A. f(x) = x+3
B. f(x) = 2x
C. f(x) = x + 2
D. f(x) = 4x - 1
Pls help

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 =

   =

   = 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.

468

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.