Which function describes this graph? f(x)=4x+2 f(x)=x+2 f(x)=1/4x+2

The correct option is 3.

Step-by-step explanation:

The slope intercept form of a line is

                 ..... (1)

where, m is slope and b is y-intercept.

From the given graph it is clear that the graph intersect the y-axis at (0,2). So, the y-intercept of the line is 2.

The line passes through the points (0,2) and (4,3). So, the slope of the line is

Substitute and b=2 in equation 1.

The equation of line is .

Therefore the correct option is 3.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.