Need help!! (1 Viewer)

[MrBrightside]

can some1 fully explain this...-_- thx!!!

For each domain, find the range of each function

1. y= |x| for -2 greater than or equal to x less than or equal to 2. thx



Solve graphically
2. |x-1| < 4

 

[bouncing]

can some1 fully explain this...-_- thx!!!

For each domain, find the range of each function

1. y= |x| for -2 greater than or equal to x less than or equal to 2. thx



Solve graphically
2. |x-1| < 4

have you tried drawing them....?
do you know how to ? should be easy if you understand what the absolute value brackets mean...

 

[MrBrightside]

have you tried drawing them....?
do you know how to ? should be easy if you understand what the absolute value brackets mean...

I know what Absolute values mean i just don't get what to do... plz explain..I know a table of values is required somewhere, but not sure how to do it

 

[lychnobity]

can some1 fully explain this...-_- thx!!!

For each domain, find the range of each function

1. y= |x| for -2 greater than or equal to x less than or equal to 2. thx



Solve graphically
2. |x-1| < 4

ok, here we go:

1) draw |x| (ie draw the graph of y=x, then whatever is BELOW the x axis, gets flipped to the top; like a mirror image)

since the domain is between -2 and 2 (ie the x values), the RANGE are the y values possible, when you sub in the numbers to |x|. (range is therefore between 0 and 2)


2) Draw y = x-1, now like before, flip everything below the x axis to the positive side

draw the line y = 4 (go to 4 on the y axis, and draw a HORIZONTAL line)

since you want ot graphically solve |x-1|<4, the solution will be BELOW 4, and NOT EQUAL to 4, so make the horizontal line above a dotted one.

Now, shade in the area between the dotted line, and the v-shaped graph of |x-1|

 

[hscishard]

ok, here we go:

1) draw |x| (ie draw the graph of y=x, then whatever is BELOW the x axis, gets flipped to the top; like a mirror image)

since the domain is between -2 and 2 (ie the x values), the RANGE are the y values possible, when you sub in the numbers to |x|. (range is therefore between 0 and 2)


2) Draw y = x-1, now like before, flip everything below the x axis to the positive side

draw the line y = 4 (go to 4 on the y axis, and draw a HORIZONTAL line)

since you want ot graphically solve |x-1|<4, the solution will be BELOW 4, and NOT EQUAL to 4, so make the horizontal line above a dotted one.

Now, shade in the area between the dotted line, and the v-shaped graph of |x-1|

I don't know why, but I get the feeling that "for each domain" means to use all five numbers (-2,-1,0,1,2) and find the range(y value) for each value.

For the second question, graph paper will be extremely useful. Unless of course, you do it algebraicly in your head first .

 

[ohexploitable]

For the 2nd one:

Consider y=|x-1| and y=4, find the intersection points then graph both functions.

To find the intersection points just solve |x-1|=4, x=-3 or x=5.

You have both intersection points. So for |x-1|=4, x=-3 or x=5.

But you want |x-1|<4 so you simply write the x values for which y= |x-1| is under y=4. The solution is -3< x<5.

 

[MrBrightside]

thank you