How do you determine the intervals where #f(x)=3x-4# is concave up or down?
By definition, a function
Here, we notice that the second derivative is never greater than or less than 0, which means
Neither- point of inflection
When we want to determine if a function is concave up or concave down, we want to analyze the function's second derivatives
We have three possible scenarios:
#f''(x)>0=>#Function is concave up
#f''(x)<0=>#Function is concave down
#f''(x)=0=>#Point of inflection (neither concave up or down)
We see that our second derivative of
Hope this helps!