A function of the form f(x) = mx + b, where m and b are real numbers, is called a _____ function.

Solution:

The function f(x) = mx + b, where m and b are real numbers, is a linear function of single variable x. Where m = slope of the line and b is a constant.

A linear function is of the form y = ax +b and it is the equation of a straight line. When graphed we get a straight line and it has one solution.

Given y = mx + b, denotes the slope-intercept form of the line, where b is the y-intercept.

Thus the given function is a linear function.

A function of the form f(x) = mx + b, where m and b are real numbers, is called a _____ function.

Summary:

A function of form f(x) = mx + b, where m and b are real numbers, is called a Linear function.