Math 110 Exam 1 Expected Questions With Verified Answers

MATH 110 EXAM 1 EXPECTED QUESTIONS WITH
VERIFIED ANSWERS

Question 1.
Finding Domain


ANSWER
Rule 1) Cannot divide by zero
set denominator to zero and solve



Question 2.
Finding Domain


ANSWER
Rule 2) cannot take the square root of negative number
set what is inside radical >= 0 and solve
*make number lines*



Question 3.
Polynomial Function


ANSWER
ex: f(x)= 2x^4 + 3x^2 - 10x
all powers must be *non negative whole numbers* cannot have negative powers, square
roots, or fractional powers
the *degree* of the function is the highest power (in this case 4)



Question 4.
Rational Function


ANSWER
ex: f(x)= (x^3 +5x^2 -7) / x+1
It is the QUOTIENT of 2 polynomials This means NO negative powers, square roots or
fractional powers



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, *does NOT have a degree*



Question 5.
Power Function


ANSWER
ex: f(x)= 2x^5, 3x^-2, square roots, etc
Powers can be any real number (including negatives and fractions)
*does NOT have a degree*



Question 6.
All polynomial functions are power functions...


ANSWER
but the reverse is not true! Not all power functions are polynomial functions



Question 7.
Equilibrium Point


ANSWER
occurs where the supply function equals the demand function
s(x) = d(x)



Question 8.
To find equilibrium *quantity*


ANSWER
set s(x)=d(x) and solve for x



Question 9.
To find equilibrium *price*, p


ANSWER
set s(x)=d(x) and solve for x and plug it back into either s(x) or d(x)




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