Which graph best represents an increasing function? A graph shows a non linear curve that joins the ordered pairs 0, 0, and 2.5, 1, and 4, 3.
A graph shows a non linear curve that joins the ordered pairs 0, 4 and 2, 1.5, and 4, 0.
A graph shows a straight line that joins the ordered pairs 0, 4 and 4, 4.
A graph shows a vertical straight line that joins the ordered pairs 4, 0 and 4, 4.

The graph that best represents an increasing function is (a) A graph shows a non linear curve that joins the ordered pairs (0, 0), and (2.5, 1), and (4, 3).

For a graph to represent an increasing function, then as the input values increases, the output values must also increase

This means that:

As the x values increases, the y values must also increase

Hence, the graph that best represents an increasing function is (a)

This is so because as x increases from 0 through 2.5 to 4, y increases from 0 through 1 to 3

Read more about increasing functions at:

link

(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

the answer would be c:   ax + b = ax + c

step-by-step explanation: