Question

Graphing functions practice

Answer 1

Let's look at the last equation and see what happens to its graph if a negative x + 1 is under the radical.

y = - (-x+1) ^ (1/3) + 5

You can copy and paste that into the Desmos.com calculator function slot.

I'll be over at Desmos.com seeing what I get.

Ready?

Answer 2

yep

Answer 3

If the copy and paste option will not work, use Control + V or you can type it in.

Answer 4

okay I got it

Answer 5

I added a second function with the lead negative removed.

Answer 6

What next?

I have a very small collection in my head of what I call "Great Graphs" which are very basic equations and the associated graphs. (parent graphs) I remember those to have some idea of how the graph of a more complicated equation might appear.

Answer 7

what about this one?\[f(x)=-(x)^\frac{ 1 }{ 2 }+5\]

Answer 8

>okay I got it

Do you have radical equation questions to answer that do not involve simply drawing the graphs.

Answer 9

like what we were doing last night?

Answer 10

I was thinking about questions about the functions.
What is its x-intercept.
What are the end behaviors of the graph?

Answer 11

yeah, my worksheet asks me what the y-int and the:\[as x \rightarrow \infty, f(x)\rightarrow?\]

Answer 12

I don't know how to interpret that.
asx --> Is that something to do with the x-intercept or the vertical asymptote?

Answer 13

as x*

Answer 14

That is end behavior talk.

Answer 15

What is the equation of the function that goes with that?

Answer 16

\[f(x)= -\sqrt[3]{x+1}+5\]

Answer 17

Think about an equation like y = 2*x + 3

As x increases without bound, what are the values of y doing?

Are they increasing without bound? Are they approaching 0?

So, looking at the graph.