In piecewise linear functions, the endpoint of one segment and the initial point of the next segment can have the same x-coordinate but a different value of f(x).
Such difference in values is called a step or discontinuity and such a function is called a discontinuous function.
Here in this case, there are 3 discontinuities: x=-3, x=3 and x = 5.
x = -3 because x is smaller than or greater than -3 but not equal.
x = 3 since greater than 3 in one of the inequalities.
x = 5 since x is smaller than 5 in one of the limits.
I believe the school is 35.2 ft. tall. call me out if I'm wrong.
Answer:
It depends on the situation being modeled.
Step-by-step explanation:
Assuming the vertex (8.33,236.67) is on a quadratic curve modeling height of an object in feet after t seconds.
Then t=8.33s is the time the object reached the maximum height.
The maximum height is the y-value of the vertex, which is 236.67 feet.
In this case the quadratic curve opens downwards.
The vertex is then the maximum point on this curve.