Functions

**scubasteve94** · March 22nd 2009, 09:42 PM

Given f(x)=8x^3, sketch the graph of g(x) in detail, where g(x)=f(x - 1)+1

Im unsure what to do!
do you sub in f(x) or...??

**Chris L T521** · March 22nd 2009, 09:52 PM

Originally Posted by scubasteve94

Given f(x)=8x^3, sketch the graph of g(x) in detail, where g(x)=f(x - 1)+1

Im unsure what to do!
do you sub in f(x) or...??

Since $f\!\left(x\right)=8x^3$ , and $g\!\left(x\right)=f\!\left(x-1\right)+1$ , this means that $g\!\left(x\right)=8\left(x-1\right)^3+1$ .

All that you're doing with $f\!\left(x\right)$ is shifting it over one unit to the right (which is what $f\!\left(x-1\right)$ represents) and then shifting it up one unit (which is what $f\!\left(x-1\right)+1$ represents).

Does this make sense?

**scubasteve94** · March 22nd 2009, 10:00 PM

Yes i think so but what does the 8 do??

**Chris L T521** · March 22nd 2009, 10:03 PM

Originally Posted by scubasteve94

Yes i think so but what does the 8 do??

You can think of it as a vertical stretch. It takes the values of the function $x^3$ and multiplies them by 8.

**scubasteve94** · March 22nd 2009, 10:09 PM

so is it just the dilation factor??

**Chris L T521** · March 22nd 2009, 10:11 PM

Originally Posted by scubasteve94

so is it just the dilation factor??

Yes.

**scubasteve94** · March 22nd 2009, 10:17 PM

Thank you very much

Thread: Functions

LinkBack

Thread Tools

Display

Functions

Similar Math Help Forum Discussions

Match the functions with their contour plots labeled A - D. Most of these functions a

Circular functions as opposed to traditionally determined trigonometric functions?

[SOLVED] Integration of Incomplete Beta Functions and Hypergeometric Functions

[SOLVED] Chain rule with functions depending on other functions

ntegration of Functions that are the Derivatives of Analytic Functions

Search Tags