Is this graph increasing or decreasing or is it constant ?

option B. constant

Step-by-step explanation:

In the graph attached there is a straight line parallel to x-axis that is y = 3.

Intercept  form of a line is given by y = mx + c

where m = slope of the line

           c = y-intercept

When we compare the line y = 3 to the intercept form of the equation we find m = 0, so this line is parallel to x-axis.

and y = 3 is constant.

Therefore, option B. constant is the answer.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3