Functions

Question 1

Define f(x)

Answer 1

A system where putting an input produces an output after conducting operations on the input

Question 2

Find vertical asymptote for f(x)=k/(ax^2+bx+c)

Answer 2

x value which would make the denominator = 0

Question 3

Define range

Answer 3

All possible outputs for a function

Question 4

Define domain

Answer 4

All possible inputs for a function

Question 5

Horizontal asymptote

Answer 5

y value for which there is no x value

Question 6

Solve f(g(x))

Answer 6

1. Solve for g(x)

2. Plug in step 1 into f(x)

Question 7

Given f(x)and g(x), what is f(g(f(x)))

Answer 7

1. Plug in f(x) into g(x)=g(f(x))

2. Plug in step 1 into f(x)

Question 8

Given c is a constant in a(x^2)+bx+c what is the value of c given a point in the function (k,l)?

Answer 8

Plug in both values into the equation
l=a(k^2)+bk+c
Solve!

Question 9

0, roots, x-int

Answer 9

x value that would make f(x)=0

Question 10

Given a(x^2)+bx+c, what is the value of k in f(x)=k if there is only one solution? given no graphs

Answer 10

1. Plug in a(x^2)+bx+c into calculator
2. Plug in the first value of k into the 2nd y=
3. Graph
4. Visually determine howShift->G-Slv->ISCT to determine the # of 0s it has if f(x)=1st choice
5. If it has greater that 1 0, move on to the 2nd choice and repeat from step 2 until the correct answer is found

Question 11

Given 4 graphs, which of them could be the one of ax^4+bx^3+cx^2+dx+k?

Answer 11

1. Find an easy point where the values of all those graphs differ often 0 or 1
   eg. if all of the graphs have a different y value for x=0, plug in x=0 into the f(x) in question
2. Find which graph fulfills the correct y value for the x-value