SOLUTION: What do the following mean if: a.) an expression is a function b.) y is directly proportional to x (give an example) c.) the coefficient of the third term is 5 ( give an example

Question 47639: What do the following mean if:
a.) an expression is a function
b.) y is directly proportional to x (give an example)
c.) the coefficient of the third term is 5 ( give an example)
d.) a function only has one root
e.) a function is a polynomial
can someone help me with explanations for the above statements please? THANKS!
any help will be nice.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a.) an expression is a function
y=3x+2 is an equation that is a function because for each
value of x there is exactly one value of y. 3x+2 is an
expression; it is not an equation and not a function.
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b.) y is directly proportional to x (give an example)
y=kx means y and x are directly proportional;
Example: If 4=k(8) then 10=k(20) In both cases k=1/2
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c.) the coefficient of the third term is 5 ( give an example)
If y=2x^3+3x^2+4x-8 the 3rd term is 4x
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d.) a function only has one root
If y=3x+2 and we let y=0 the value of x will be -2/3 and
that value of x is called a root or zero of the function.
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e.) a function is a polynomial
A polynomial is an algebraic expression comprising more
than one term. A function is a special equation; it is
never called a polynomial.
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Cheers,
Stan H.

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