Algebraic Properties of Functions
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1 and 2 can have multiple answers
1) Which of the given functions is a one-to-one function? Select all that apply
g(x)=2sqrt(x+5)
g(x)=5x^2-2
h(x)=x^4+5
f(x)=Abs(x)
f(x)=-5x+2
2) Which of the given functions is a one-to-one function? Select all that apply
g(x)=3sqrt(x)
f(x)=-2x+3
g(x)=2x^2-3x
f(x)=1/x
h(x)=x^4+5
3) Find the inverse function of f.
-2sqrt(-9-8x)
x=
4)If f(x) = -8x - 10, find f -1(-34).
5)Find a polynomial of the specified degree that has the given zeros.
Degree 4; zeros
â?'3, 0, 3, 5
P(x) =
6) ind the quotient and remainder using synthetic division.
x^3+5x^2+7x+2/x+5
Quotient=
Remainder=
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Solution Summary
This assignment demonstrates several ideas from elementary algrebra including factoring polynomials, dividing polynomials, determining whether a function is one-to-one, and finding the inverse of a function.
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