Which of the following is the function representing the graph below?

Question

graph begins in the second quadrant near the x-axis and increases slowly while crossing the ordered pair 0, 1. When the graph enters the first quadrant, it begins to increase quickly throughout the graph.
Select one:
A. f(x) = 4x
B. f(x) = 4x - 3
C. f(x) = 4x + 3
D. f(x) = 4(x + 3)

Answer 1

When a graph increases or decrease slowly, we expect to have a function that is a curve. 

 

Examples of such functions are quadratics, exponential, and rationals.

 

All the functions in your answer choices represent straight lines, which has a steady rate.  This is because a straight line has a constant slope between each set points.

 

Not to mention, neither of these functions you have given us carries the point (0, 1).

Answer 2

None of these functions cross (0,1).