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When is the inverse of a itself a function?
Since the inverse of a function is it's reflection over the line x=y, which has a slope of 1. The only way a function can be It'a own inverse is if it is a liner function whose slope is perpendicular to the line. Since a perpendicular line is any line with the negative recoprocal of the slope, any linear function whose slope is -1 will be it's own inverse. - stefanie math 7-12 teacher
How to find the slope to an equation?
If it is the equation for a line, then it can be rearranged into the format y = mx + b, where m is the slope of the line, and b is the point where the line intercepts the y-axis.If it is not for a straight line, then the slope is changing with x, and the derivative of the function would find the slope at a particular x.
Can one line have 2 slopes?
If the line is a straight line, meaning 180degrees, it can only have one slope. If it is a function (f(x)= or y=) then the line may have more than one, one, or an undefined slope. Find the first differential of the function and plug in your given x value to find the slope at any given point.
How does the graph of an exponential function differ from the graph of a linear function and how is the rate of change different?
The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.
Write a function represents the line that contains the point 2 and 12 and has a slope of-3?
As a straight line equation: y = -3x+18 in slope intercept form
