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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
For the graph below, what should the domain be so that the function is at least 300?
Graph of y equals minus 2 times the square of x plus 50 times x plus 300
Solution:
Given: Graph of y equals minus 2 times the square of x plus 50 times x plus 300.
It can be mathematically represented as
y = -2x2 + 50x + 300
So we get,
-2x2 + 50x + 300 ≥ 300
By subtracting 300 on both sides
-2x2 + 50x ≥ 0
Taking 50x on the RHS
-2x2 ≥ -50x
Divide both sides by -2
x2 ≤ 25x
Divide both sides by x
x ≤ 25
Therefore, the required domain is 0 ≤ x ≤ 25.
For the graph below, what should the domain be so that the function is at least 300?
Graph of y equals minus 2 times the square of x plus 50 times x plus 300
Summary:
For the graph below, the domain should be 0 ≤ x ≤ 25 so that the function is at least 300.
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