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SLCC College Algebra 1050 Final Exam Questions with Correct Answers

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Even or odd function? - Answer-f(-x) = - f(x) then it is odd f(-x) = f(x) then it is even Sometimes a function is neither even nor odd Domain Rules - Answer-1. Denominator can't be equal to 0 2. Inside an even root, greater or equal to 0 3. What we take the log of must be greater than 0 F...

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  • October 15, 2024
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SLCC College Algebra 1050 Final Exam
Questions with Correct Answers
Even or odd function? - Answer-f(-x) = - f(x) then it is odd
f(-x) = f(x) then it is even
Sometimes a function is neither even nor odd

Domain Rules - Answer-1. Denominator can't be equal to 0
2. Inside an even root, greater or equal to 0
3. What we take the log of must be greater than 0

Finding the inverse of a function - Answer-1. replace f(x) with y in the equation for f(x)
2. interchange x and y
3. solve for y
4. write in the correct notation
5. (verify by composing the functions)

Maximum or minimum of a quadratic function - Answer-vertex
(h,k)

or

(-b/2a, f(-b/2a))

Difference Quotient - Answer-Remember that f(x+h) means to input (x+h) in the x spot
of the f(x) function


Transformations of Parent Functions - Answer-Parent functions can be transformed to
create other members in a family of graphs.

Remember HI VO ("Horizontal Inside, Vertical Outside")

Do you know the different families of graphs?

Piecewise-defined functions - Answer-Could you graph a function like this?

Could you find something like f(0) or f(2)?
(Hint: we will only input the value into one of the three equations, not all 3)

Rational Zero Theorem - Answer-

Multiplicity of zeros on a polynomial - Answer-Zeros with even multiplicity --> Graph
*touches* x-axis at that intercept

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