Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k

Step-by-step explanation:

k is the y-intercept.  In other words, the y-intercept is the point ON the y-axis where the line goes through.  Our line goes through the y-axis at 3.  So, k = 3.  The k value for f(x) is -2, right where the line goes through the y-axis.  It will always be that way for lines.

d) -1

step-by-step explanation:

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.