The graph shown here is the graph of which of the following rational functions
O A FO) = 2-3x+3
OB. AB) = x= 1962–31x-3
x-2
O C. FX) =

Given:

The graph of rational function.

To find:

The rational function.

Solution:

If the graph of a rational function has a vertical asymptote at , then must be a factor of the denominator of that rational function.

From the given graph it is clear that the graph has two vertical asymptotes. One is at and another one is at .

It means, and are the only two factors of the denominator of the rational function.

In option A, the factors of the denominator are different from and .

In option B, the denominator has an extra factor .

In option C, the denominator has only two factors and .

Therefore, the correct option is C.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

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

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

4

step-by-step explanation:

im pretty sure it's 4 beacsue 8/2 equals 4