Question

Which statement best describes the functions represented by the tables?
x p(x)
0
4
1
16
2
64
x g(x)
0 3
2 15
5
33
OA. Function p is nonlinear and exponential.
OB. Both functions are nonlinear.
OC. Both functions are linear.
OD. Function qis nonlinear but not exponential.

1. A statement best describes the functions represented by the tables is that: A. function p is nonlinear and exponential.

### What is a linear function?

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

### What is a slope?

A slope is also referred to as gradient and it’s typically used to describe both the ratio, direction and steepness of the function of a straight line.
Mathematically, the standard form of the equation of a linear function is given by;
y = mx + c
Based on the data provided in the table, we would determine the slope:
Slope, m = Δp(x)/Δx
Slope, m = (16-4)/(1-0)
Slope, m = 12/1
Slope, m = 12.
Slope, m = (64-16)/(2-0)
Slope, m = 48/2
Slope, m = 24.
For the slope of g(x), we have:
Slope, m = Δg(x)/Δx
Slope, m = (15-3)/(2-0)
Slope, m = 12/2
Slope, m = 6.
Slope, m = (33-15)/(5-2)
Slope, m = 18/3
Slope, m = 6.
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