: A function of the form f(x) = mx + b, where m and b are real numbers, is called a _____ function.
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Answer:
A function of form f(x) = mx + b, where m and b are real numbers, is called a Linear function
Step-by-step explanation:
- 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.
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Answer:
A function of the form f(x) = mx + b where m and b are real numbers, is called a linear function.
Explanation:
- A linear function from the real numbers is one whose graph in calculus and related areas of mathematics is a non-vertical line in the plane.
- The graph of a linear function is a straight line. The following is the form of a linear function, a + bx = y = f(x).
- One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.
- Standard form, slope-intercept form, and point-slope form are the three main types of linear equations.
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