Question

math problem

Answer 1

@supie / @jhonyy9 ?

Answer 2

so when you have x is less than -2
the graph looks like x + 1


and for all values of x greater than or equal to -2
the graph looks like -2x - 3

so which graph depicts that?

Answer 3

B?

Answer 4

Is this B?

Because if so, that is wrong. Just look at the line on the left side. It's going down so that means it has a negative slope

The equation says that the line should be x + 1 when the x-values are all less than -2 so that means on the left side, the line should be going up and it would have a y-intercept of 1 if it reached the y-axis (but it doesn't reach the y-axis because it has to stop at -2)

and then from -2 to the other end, we have an equation of -2x - 3
this has a negative slope and an y-intercept of -3

Answer 5

yep

Answer 6

its A?

Answer 7

are you sure? the lines look correct but remember what the possible x-values were?

the line is going to be x+1

for whenever x is LESS THAN -2

but in A, the line keeps going all the way until 0

Answer 8

and the other line should begin at x = -2 and go on

but it begins at 0

Answer 9

the last option is c because its the last option ith the slope going up

Answer 10

yes, now you got it

also if you want to know how to put the lines into Desmos to check, this is how you would write it:
https://www.desmos.com/calculator/wol1rs1hwc

you write the equation and then in between { } you write down what x-values those equations work for

so the equation of the line would be x+1 whenever x is less than -2 or x<-2

so you would put in
x+1 {x<-2}

and it'll show you that

Answer 11

did all of that make sense?

Answer 12

yep

Answer 13

good