Graph the following piecewise function. State the values for f(0) and f(-2).
f(x)={ 2x-1 if x>1
{ -4 if -1¡Üx<1
{ 2-x^2 if x<-1
see
http://www.jiskha.com/display.cgi?id=1325561243
To graph the given piecewise function, you'll need to follow these steps:
1. Plot the first part of the function where x is greater than 1, which is f(x) = 2x - 1.
2. Plot the second part of the function where x is between -1 and 1 (inclusive), which is f(x) = -4. This will be a horizontal line at y = -4.
3. Plot the third part of the function where x is less than -1, which is f(x) = 2 - x^2. Since this is a quadratic function, it will be a downward-facing parabola.
4. Identify the values for f(0) and f(-2):
- To find f(0), check the second part of the piecewise function where -1 ≤ x < 1. In this range, f(x) is always -4, so f(0) = -4.
- To find f(-2), check the third part of the piecewise function where x < -1. In this range, f(x) = 2 minus (-2)^2, which simplifies to f(-2) = 2 - 4 = -2.
Once you follow these steps, you should have the graph of the piecewise function and the values for f(0) and f(-2).