Operations on Functions


Problems

Problem : If f (x) = (x + 2)2 - 1 , what is the equation of the function if the graph is stretched:
a) vertically by a factor of 3
b) vertically by a factor of
c) horizontally by a factor of 2
d) horizontally by a factor of


Problem : What is the equation if f (x) is stretched vertically by a factor of 4 and shrunk horizontally by a factor of 5 (stretched by a factor of )? Give your answer in terms of f (x) .


Problem : What is the equation if f (x) is shrunk vertically by a factor of 6 and shrunk horizontally by a factor of 6?


Problem : A function passes through (3, 5). It is stretched horizontally by a factor of 2z - 1 , and the corresponding part of the resulting function passes through (9, 5). Solve for z .


Problem : If f (x) has a domain of and a range of , what are the domain and range of the following:
a) g(x) = 10f (x)
b) g(x) = f (2x)
c) g(x) = f ( x)


Problem : What relationship does g(x) = f ( x) have to f (x) ?


Take a Study Break

SparkLife

Star Trek gets SEXY

Chris Pine and Zoe Saldana heat up the red carpet!

SparkLife

Are you afraid of relationships?

Auntie SparkNotes can help!

SparkLife

Wanna get JLaw's gorgeous glow?

Click here for simple, sexy makeup tricks!

SparkLife

Sexy starlet style

See every single look from the Met Gala!

SparkLife

Who'd be on your zombie-apocalypse crew?

We already dib'sed Genghis Khan.

Geek out!

The MindHut

Geeky Actresses: Then and Now

Before the fame!

The MindHut

9 Scientific Inaccuracies in Iron Man 3

Click to see what they got wrong.

The MindHut

Top 10 Predictions Sci-Fi Got WRONG

So wrong, they're WRONG.

The MindHut

The 15 Most Awesome Robots, Ever

These Robots Rock!

The MindHut

If You Like Game of Thrones...

...Then you'll LOVE these books!

The Book

Cover image

Read What You Love, Anywhere You Like

Get Our FREE NOOK Reading Apps