Santosh's cousin is 15 years old because 49-4=45. Divide 45 by 3 and the quotient is 15. To check: 15 times 3= 45. Add 4 and the sum is 49.
The graph represents a polynomial graph, and the equation of the polynomial graph is f(x) = -(x + 5)³(x - 2)²
<h3>How to determine the equation?</h3>
From the graph, we have the following observations:
- The graph has a turning point at x = 2
- The graph changes the factor of its direction at x = -5
This means that the graph has a multiplicity of 2 at x = 2 and a multiplicity of 3 at x = -5
So, we have:
f(x) = a(x + 5)³(x - 2)²
The curve is inverted,
This means that a < 0
Assume a = -1.
Then, we have:
f(x) = -(x + 5)³(x - 2)²
Hence, the equation of the polynomial graph is f(x) = -(x + 5)³(x - 2)²
Read more about polynomials at:
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Relations are ordered pair sets (x,y) mapping a value to another value
the set of 1st components is called the domain
the set of 2nd components is called the range
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