h(x)=9.5x² , function grows at the fastest rate for increasing values of x
What is a function ?
In mathematics, it is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
To determine the function that grows at the fastest rate for increasing values of x we have to find the value at different value of x .
For x = 1
g(x) = 2.5 * 1 = 2.5
h(x) = 9.5 *1² = 9.5
f(x) = 8.5*1 +3 =11.5
For x=2
g(x) = 2.5 * 2 = 5
h(x) = 9.5 *2² = 38
f(x) = 8.5*2 +3 =20
Therefore, the second option h(x)=9.5x² grows at the fastest rate for increasing values of x.
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