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Linear function increasing?
A linear function is increasing if it has a positive slope. To find this easily, put the function into the form y=mx+b. If m is positive, the function is increasing. If m is negative, it is decreasing.
What does linear functions mean?
A linear function is a function in which only the first power of the variables appears. A linear function is in the form of y=ax+b. When graphed, the graph is a straight line. 'a' is the slope of the line, 'b' is the value of 'y' where the line crosses the y-axis. For example: y=2x+4 is a linear function
What is the slope of the line represented by each function what is the y-intercept for each function?
In the slope-intercept form you use the slope of the line and the y-intercept to the origin has a y-intersect of zero, b = 0, and represents a direct variation. All functions that can be written on the form f(x) = mx + b belong to the family of linear function.
Is an exponential function linear?
No. An exponential function is not linear. A very easy way to understand what is and what is not a linear function is in the word, "linear function." A linear function, when graphed, must form a straight line.P.S. The basic formula for any linear function is y=mx+b. No matter what number you put in for the m and b variables, you will always make a linear function.
What is the rate of change of a linear function?
It will just be the gradient of the function, which should be constant in a linear function.
