Which graph represents the piecewise-defined function?

y=⎧⎩⎨⎪⎪5   if  x< −5−2   if  −5≤x≤61if  x> 6

answer:

answer: the below figure shows the graph of f(x).

explanation: given function,

since, here three conditions are given,

in first case for values x< -5 , f(x)=5, so we get a line y=5 parallel to x-axis which passes through point (0,5).

in second case, for values   , f(x) =-2, so we get a line y=-2 parallel to x-axis which passes through point   (0,-2).

in third case, for values x> 6, f(x)=1, so we get a line y=1 parallel to x-axis which passes through point (0,1).

thus, these three lines make the piecewise-defined function f(x).

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt