Final Exam

Question 1

how to solve polynomial inequalities

Answer 1

IXRC chart (intervals, x value, result, conclusion

Question 2

Testing functions

Answer 2

use vertical line test to test if a line drawn vertically passes through the graph more than once which would make it NOT a function.

Question 3

Solving functions for Y

Answer 3

if answer needs a + or - then it is NOT a function

Question 4

even functions

Answer 4

symmetric to y-axis

Question 5

odd functions

Answer 5

symmetric to origin

Question 6

finding the inverse of a function

Answer 6

change f(x) to Y, switch x and y, solve for y and change answer to f^-1(x)

Question 7

equation of a quadratic

Answer 7

f(x)=a(x-h)^2+k

Question 8

Word problem includes maximum or minimum

Answer 8

x=-b/2a

Question 9

Even exponent, positive leading coefficient

Answer 9

rises left, rises right

Question 10

Odd exponent, positive leading coefficient

Answer 10

falls left, rises right

Question 11

Even exponent, negative leading coefficient

Answer 11

falls left, falls right

Question 12

Odd exponent, negative leading coefficient

Answer 12

rises left, falls right

Question 13

finding rational zeros

Answer 13

+- last number/first number

Question 14

finding vertical asymptote

Answer 14

set denominator equal to 0 and solve

Question 15

finding horizontal asymptote

Answer 15

compare the degrees of x of the numerator and denominator

Question 16

what is the HA if the degree of numerator is greater?

Answer 16

HA=none

Question 17

what is the HA if the degree of denominator is greater?

Answer 17

HA= y=0

Question 18

What is the HA if the degrees are the same

Answer 18

y=a/b

Question 19

logarithmic form

Answer 19

y=LOGbX

Question 20

exponential form

Answer 20

b^y=x

Question 21

equation of a circle

Answer 21

(x-h)^2+(y-k)^2=r^2

Question 22

finding center given endpoints of diameter

Answer 22

(x1+x2/2, y1+y2/2)

Question 23

compound interest formula quarterly or yearly

Answer 23

A=P(1+r/n)^nt

Question 24

continuous compounding formula

Answer 24

A=Pe^rt

Question 25

What does A represent in compound interest formula

Answer 25

final amount

Question 26

What does P represent in compound interest formulas

Answer 26

starting amount

Question 27

What does r represent in compound interest formulas

Answer 27

interest rate

Question 28

What does t represent in compound interest formulas

Answer 28

time

Question 29

What does n represent in compound interest formulas

Answer 29

compoundings in a year (n=4, n=12)

Question 30

exponential population model

Answer 30

y=ae^bt