For problems 1–6, identify each of the graphs as the graph of a linear, rational, quadratic, cubic, radical, or absolute value function.
@cheeto365 first tell me what's a linear graph?
a straight line graph that always has a slope y= mx+c that is the equation @ash2326
Okay, you know what that means really?
im just guessing its a line in a graph thats going to have a slope no matter what?
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.
but how is that going to help solving what kind fo graphs these are
so 6 and 2 are linear?
Great you are correct
oh i see okay thank you i know this now :)))))
Tell me what's an absolute value function?
i honestly dont know
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
wait so what would the graph look like
Think and tell for x>=0 it' y=x, slope 1 for x<0 it's y=-x slope -1
No, it'd be a line
or is it 2 and 6 again
Look closely, 4 is not a line. 2 and 6 are just lines. Ok tell me how would graph of y=-x look like
Yeah number 1 is the graph of absolute value, on line is y=x and other is y=-x. Great:D
would 5 be cubic?
No , a cubic will either cut once the x-axis or three times.
and 5 is quadric?
5 can't be a quadratic, it has a discontinuity
3) curve crosses x-axis once, so it'd be a cubic
you understood this?
curve how does that make it cubic tho?
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
and it'll extend to infinity both sides
so 5 is rational?
I'm not sure about 5, 4 is radical. For this check this page http://www.purplemath.com/modules/graphrad.htm
thanks alot for the help
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