What is the best estimate of the instantaneous rate of change for the function f(x) = x at the point of (-2, -2)?
1. 1/2
2. 2
3. 1
4. x
recall the slope-intercept form for this line.
y = 1x + 0
so is it X ?
No, it is 1
In y=mx+b the slope is m and the y-intercept is b.
Better review this some more.
To find the instantaneous rate of change for the function f(x) = x at the point (-2, -2), we need to calculate the derivative of the function at that point.
The derivative of a function gives us the rate of change of that function at a specific point. For a linear function like f(x) = x, the derivative is simply the slope of the function.
In this case, the derivative of f(x) = x is 1, because the slope of a linear function is always equal to the coefficient of x. So, the derivative of f(x) = x is 1.
Therefore, the best estimate of the instantaneous rate of change for f(x) = x at the point (-2, -2) is 1. Hence, the correct answer is option 3.