Mathematics
OpenStudy (anonymous):

For problems 1–6, identify each of the graphs as the graph of a linear, rational, quadratic, cubic, radical, or absolute value function.

OpenStudy (anonymous):

OpenStudy (anonymous):

@ash2326

OpenStudy (anonymous):

hellllp

OpenStudy (anonymous):

helllp

OpenStudy (ash2326):

@cheeto365 first tell me what's a linear graph?

OpenStudy (anonymous):

a straight line graph that always has a slope y= mx+c that is the equation @ash2326

OpenStudy (ash2326):

Okay, you know what that means really?

OpenStudy (anonymous):

im just guessing its a line in a graph thats going to have a slope no matter what?

OpenStudy (ash2326):

A linear graph is a straight line, as that you mentioned y=mx+c it means that for every unit increase in x , y will increase by m units. So if m is positive, y will increase by m units. If m=0 , y will remain constant. If m is negative Y will decrease by m units.

OpenStudy (anonymous):

but how is that going to help solving what kind fo graphs these are

OpenStudy (anonymous):

so 6 and 2 are linear?

OpenStudy (ash2326):

Great you are correct

OpenStudy (anonymous):

oh i see okay thank you i know this now :)))))

OpenStudy (ash2326):

Tell me what's an absolute value function?

OpenStudy (anonymous):

i honestly dont know

OpenStudy (ash2326):

y=|x| is the absolute value function. It's defined as y= x when x>=0 and y=-x when x<0 If we have x=2 , y=2 if we have x=-2 then also y=2

OpenStudy (anonymous):

wait so what would the graph look like

OpenStudy (ash2326):

Think and tell for x>=0 it' y=x, slope 1 for x<0 it's y=-x slope -1

OpenStudy (anonymous):

number 5?

OpenStudy (ash2326):

No, it'd be a line

OpenStudy (anonymous):

4?

OpenStudy (anonymous):

or is it 2 and 6 again

OpenStudy (ash2326):

Look closely, 4 is not a line. 2 and 6 are just lines. Ok tell me how would graph of y=-x look like

OpenStudy (anonymous):

number 1/

OpenStudy (ash2326):

Yeah number 1 is the graph of absolute value, on line is y=x and other is y=-x. Great:D

OpenStudy (ash2326):

*one

OpenStudy (anonymous):

:D yess

OpenStudy (anonymous):

would 5 be cubic?

OpenStudy (ash2326):

No , a cubic will either cut once the x-axis or three times.

OpenStudy (anonymous):

so 4?

OpenStudy (anonymous):

OpenStudy (ash2326):

5 can't be a quadratic, it has a discontinuity

OpenStudy (ash2326):

3) curve crosses x-axis once, so it'd be a cubic

OpenStudy (ash2326):

you understood this?

OpenStudy (anonymous):

curve how does that make it cubic tho?

OpenStudy (ash2326):

A cubic graph will cut the x-axis either once or thrice. As it has 3 roots and it'll be a continuous curve. No discontinuity in between

OpenStudy (ash2326):

and it'll extend to infinity both sides

OpenStudy (anonymous):

so 5 is rational?

OpenStudy (ash2326):