Suppose, we are given a function
[tex]f(x)=ax^2+bx+c[/tex]
Application of Zeros:
we know that
zeros are x-intercepts
We know that zeros are values of x for which f(x)=0
and it has very wide application
It is extremely useful in real world applications such as finance, astronomy, geology, architecture, or physics
For exp:
[tex]h(t)=-16t^2 + 96t + 112[/tex]
Zeros will help us to find time at which ball reaches to ground
so, we set h(t)=0
and then we can solve for t
value of t are zeros
Application of y-intercept:
we know that y-intercepts are values of y at which x=0
It's application can be population , finance and physics etc
For exp:
[tex]h(t)=-16t^2 + 96t + 112[/tex]
we can find initial height of object after plugging t=0
[tex]h(0)=-16(0)^2 + 96(0) + 112[/tex]
[tex]h(0)=112[/tex]
so, body dropped from 112 feet
