how to solve linear functions
f(x)= 2x if x greater than or equal to -1
x-1 if x less than -1
There is no solution involved here, that is just two straight lines that at (-1,-2)
They share the point (-1,-2)
the first one goes right from there with slope 2 and the second one goes left from there at slope 1
To solve linear functions, follow these steps:
1. Determine the range of values for which each part of the function is applicable. In this case, we have two parts:
- For x greater than or equal to -1, the function is f(x) = 2x.
- For x less than -1, the function is f(x) = x - 1.
2. Determine the value of x that you want to evaluate the function for.
3. Check which part of the function is applicable for the given x value.
4. Plug in the x value into the appropriate part of the function and calculate the result.
Here's an example:
Let's say we want to find the value of f(x) when x = 3.
Since 3 is greater than -1, we use the first part of the function, f(x) = 2x.
Plug in x = 3:
f(3) = 2(3)
f(3) = 6
So, when x = 3, f(x) = 6.
Similarly, if we want to find the value of f(x) when x = -2:
Since -2 is less than -1, we use the second part of the function, f(x) = x - 1.
Plug in x = -2:
f(-2) = (-2) - 1
f(-2) = -3
So, when x = -2, f(x) = -3.
By following these steps, you can solve any linear function by determining the applicable part of the function and plugging in the given x value.