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Step-by-step explanation:

The range of a function of variable x means the set of all possible values of the function.

The function, is given by .

.

For x < 0, we can not find any maximum or minimum value. So, in this case we need to find the limits.

.

Here, if you notice you will see as the function's value is - 1 - x, for x<0, the ultimate value of the function for all x<0 will be greater than - 1.

So, for x < 0 all the values of the function will be > -1.

For x > 0, .

For x = 0, the function's value will be 0.

The range of the function will be the all real numbers y > -1.

x=half

step-by-step explanation:

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500