Chapter 5

Question 1

How to do synthetic divison

Answer 1

check book

Question 2

how to test function on graph

Answer 2

vertical line test

Question 3

x-intercept

Answer 3

x coordinate where graph intersects x axis

Question 4

y-intercept

Answer 4

y coordinate where graph intersects y axis

Question 5

how many y intercepts in function

Answer 5

1

because for 1 input (0 as x value), 1 output

Question 6

how to determine x intercepts for any function

Answer 6

set f(x)=0, then solve for x

Question 7

How to solve for y intercepts

Answer 7

f(0)=y

when x=0

Question 8

A function is increasing on the interval when

Answer 8

y1

Question 9

function is decreasing on the interval when

Answer 9

y1>y2

but x1

Question 10

function on the interval when

Answer 10

y1=y2

for every pair of numbers x1 and x2 in the interval

Question 11

increasing function looks like

Answer 11

moves upwards from left to right as the independent variable assumes values from left to right on the interval

Question 12

decreasing function looks like

Answer 12

moves downwards, from left to right, as the independent variable

Question 13

constant function looks like

Answer 13

function value stays same as independent variable assumes values form left to right in interval

Question 14

interval

Answer 14

part of a function

Question 15

absolute mimimun

Answer 15

f(c) equal to or less than f(x)

Question 16

absolute maximum

Answer 16

f(x) equal to or greater than f(x)

Question 17

extreme values/extrema (plural of extremum)

Answer 17

minimum/maximum values of a function

Question 18

relative minimum

Answer 18

open interval

Question 19

relative maximum

Answer 19

open interval

Question 20

relative extremum

Answer 20

relative minimum or maximum

Question 21

extremum only applies to

Answer 21

x values

Question 22

two kinds of asymptotes

Answer 22

horizontal and vertical asymptote

Question 23

asymptote

Answer 23

line that graph gets closer in at least one direction along line

Question 24

horizontal asymptote

Answer 24

line that graph gets closer to horizontally

Question 25

vertical asymptote

Answer 25

line that graph gets closer to vertically

Question 26

asymptotes are associated with_

Answer 26

rational functions

Question 27

how to find vertical asymptote

Answer 27

when equation is in simplified form, set denominator to 0 and solve for x

Question 28

how to find horizontal asymptote

Answer 28

value that y = f(x) approaches as x approaches positive or negative infinity (https://www.austincc.edu/pintutor/pin_mh/_source/Handouts/Asymptotes/Horizontal_an d_Slant_Asymptotes_of_Rational_Functions.pdf)

Question 29

Average rate of change

Answer 29

basically slope in functions, but it's only for a certain interval

Question 30

parts of division equation

Answer 30

dividend/divisor=quotient

Question 31

parts of subtraction equation

Answer 31

minuend-subtrahend=difference

Question 32

parts of addition equation

Answer 32

addend + addend= sum

Question 33

parts of multiplication equation

Answer 33

multiplicand x multiplier (factors) = sum

Question 34

horizontal asymptote when degree of numerator = degree of denominator

Answer 34

n/d

Question 35

horizontal asymptote when degree of numerator>degree fo denominator

Answer 35

none, instead, it would be slanted

Question 36

horizontal asymptote when degree of denominator> degree of numerator

Answer 36

x axis

Question 37

In simplest form, the horizontal/vertical asymptote is the _

Answer 37

constant

Question 38

If you divide rational functions, the quotient (without the remainder) is the _

Answer 38

asymptote

Question 39

difference quotient

Answer 39

basically slope overall

Question 40

difference quotient vs average rate of change

Answer 40

difference quotient: overall | average rate of change: interval

Question 41

find difference quotient

Answer 41

book

Question 42

find average rate of change

Answer 42

book

Question 43

conjugate

Answer 43

reciprocal