(02.07)
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The range of a function is the set of all possible outputs.
When the quadratic functions are in standard form, they generally look like this:
If a is positive, the function opens up; if it’s negative, the function opens down. In this form, the y-coordinate of the vertex is found by evaluating f(−). For example, consider this function:
f(x) =
So we’re gonna do: −b/2a=−8/2(−2)=−8/−4=2
Then, we plug this in:
a is negative, so the range is all real numbers less than or equal to 5.
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Work backwards.
s=ut+(at^2)/2
Subtract ut.
s-ut=(at^2)/2
Multiply by 2.
2(s-ut)=at^2
Divide by a.
2(s-ut)/a=t^2
Find the square root:
s=ut+(at^2)/2
Subtract ut.
s-ut=(at^2)/2
Multiply by 2.
2(s-ut)=at^2
Divide by a.
2(s-ut)/a=t^2
Find the square root: