f(x)= 1/2x
f(x)=2x
Question: What is the function f(x) = 1/2x?
Answer: The function f(x) = 1/2x represents a linear equation, where the input (x) is multiplied by 1/2 and the result is the output (f(x)).
The 1/2 is known as the slope of the line, which indicates how steeply the line is rising or falling. Since 1/2 is a positive number, the line will have a positive slope and will rise to the right. This means that as x increases, f(x) will also increase, but at a slower rate than x.
The function does not have a y-intercept unless you specify a value for x. However, you could find the x-intercept by setting f(x) to zero and solving for x. In this case, that would give you x = 0.
To graph this function, you would plot the x-intercept at (0,0) and then use the slope to find other points on the line. For example, if you increase x by 2, f(x) will increase by 1, so you could plot the point (2,1). Alternatively, if you decrease x by 2, f(x) will decrease by 1, so you could plot the point (-2,-1). By connecting these points with a straight line, you would have a graph of the function.
More Answers:
Mastering Factoring Quadratic Expressions: Step-By-Step Guide With Example Of X²+3X-40How To Find The Inverse Of A Function: Step-By-Step Guide With Example
Inverse Function: How To Find It By Switching X And Y Variables | Guide