Study better. Learn faster. Get the grade you want.
Discover why millions of students use us to learn better.

Sign up now and start studying these cards for FREE

composit function

substitution of one function into another

f(g(x))

Function denotation

(f o g)

how to show that two composite functions are equal

simplify both equations, if they come out with the same simplified form, than they are equal

What is the domain of a composite function

Domain is the set of all numbers x in the domain of g such that g(s) is in the domain of f

Denotation of f + g (where f and g are functions)

(f+g)(x) = f(x) + g(x)

Denotation of f-g (where f an g are functions)

(f-g)(x) = f(x) - g(x)

Denotation of f multiplied by g (where f and g are functions)

(fg)(x) = f(x)* times* g(x)

Denotation of f/g (where f and g are functions)

(f/g)(x) = f(x) / g(x)

vertical shift (up)

add k to each y-cordinate of y=f(x) and raise the graph of f by k units

y=f(x) + k

Vertical shift (down)

subtract k from each y-cordinate of y=f(x) and lower the graph of f by k units

y=f(x) - k

Horizontal shift (left)

Subtract h from each x-cordinate of y=f(x) and shift the graph of f to the left h units

y=f(x-h)

Horizontal shift (right)

Add h to each x-cordinate of y=f(x) and shift the graph of f to the right h units

y+f(x+h)

reflection about the x-axis

multiply each y-cordinate of y=f(x) by -1, reflect the graph of f about the x-axis

y=-f(x)

multiply each x-cordinate of y=f(x) by -1, reflect the graph of f about the y-axis

y=f(-x)

piece-wise function

when a function is defined by more than one operation

f(x)= (x-3)^{2}=4 What is the base function

the base function is x^{2}

Linear function

f(x)=mx+b

a straight line that passes the vertical line test

constant function

f(x)=b

a strait horizontal line

identity function

f(x)=x

Square function

f(x)=x^{2}

looks like a U

Cube function

f(x)=x^{3}

looks kindave like and S

reciprical function

f(x)= 1/x

looks like a half moon facing away from the origin in the 2cd and 3rd quarters of the graph

absolute value function

f(x) IxI

looks like a V

Greatest integer function

f(x)=int(x)=greatest integer less than or equal to one

step function

another name for the greatest integer function

average rate of change

the slope of two points (otherwise known as the slope of the secant line)

f(x)-f(c)

------------

x-c

About this deck

Author: Jessica A.

Textbook: Precalculus: Enhanced with Graphing Utilities (5th Edition)

Created: 2011-09-20

Updated: 2011-09-20

Size: 26 flashcards

Views: 6

Textbook: Precalculus: Enhanced with Graphing Utilities (5th Edition)

Created: 2011-09-20

Updated: 2011-09-20

Size: 26 flashcards

Views: 6

Simply amazing. The flashcards are smooth, there are
many different types of
studying tools, and there is
a great search engine. I praise
you on the awesomeness.
- Dennis

I have been getting MUCH
better grades on all my tests
for school. Flash cards, notes,
and quizzes are great on here.
Thanks!
- Kathy

I was destroying whole rain forests with my flashcard production, but YOU, StudyBlue, have saved the ozone layer. The earth thanks you.
- Lindsey

This is the greatest app on my phone!! Thanks so much for making it easier to study. This has helped me a lot!
- Tyson

StudyBlue is not sponsored or endorsed by any college, university, or instructor.

© 2014 StudyBlue Inc. All rights reserved.

© 2014 StudyBlue Inc. All rights reserved.