SOLUTION: Graph the follwing functions: e) y= |-5x| and y= 5|x|

Question 155784: Graph the follwing functions:

e) y= |-5x| and y= 5|x|
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First, lets graph . Remember, we can break into and

So first graph

Graph of

Now graph

Graph of

Together, they look like this:

Graph of (red) and graph of (green)

Now because the sign outside the absolute value is positive (ie there is no sign), this tells us to only draw the upper portion like this:

Graph of

Now let's graph . To do this, first graph (which is simply a "v" shaped graph):

Graph of

Now vertically stretch the graph by a factor of 5 to get the graph of

Graph of

Notice that if you graph the two equations together you get

Graph of (red) Graph of (green)

So this means that the two graphs are identical (since one is right on top of the other)

RELATED QUESTIONS
Graph the follwing functions: A) y=... (answered by jim_thompson5910)

Graph the follwing functions: B) y=... (answered by jim_thompson5910)

Graph the follwing functions: C) y=... (answered by jim_thompson5910)

Graph the follwing functions: y=... (answered by jim_thompson5910)

solve each of the follwing systems by substitution. 5x-2y=-5... (answered by venugopalramana)

Complete the follwing function for g(x)=-4x^2+16x+19 Generate the graph and find the... (answered by funmath)

what the follwing system of equation by substitution and check. x-y=13... (answered by mananth)

Could someone help me graph the follwing and show me what the graph looks like? y =... (answered by funmath)

How do i graph natural base functions. for example: y=e to the... (answered by ewatrrr)