Question

Find the range for the function: y=x-7 {-3,0,2,5}

Answer 1

Answer:

Range is : { -10, -7, -5, -2 }

Step-by-step explanation:

Given:

The function is given as:

$y=x-7$

The domain of the function = { -3, 0, 2, 5 }

A function's input is called its domain and a function's output is called its range.

The range depends on the domain values. So, the values of 'y' are the values of range and the values of 'x' are the values of domain.

Here, the domain is given as:

Domain = { -3, 0, 2, 5 }

We need to find the values of 'y' for each value of 'x' taken from the domain set.

Plug in $x=-3$. This gives,

$y=-3-7=-10$

Plug in $x=0$. This gives,

$y=0-7=-7$

Plug in $x=2$. This gives,

$y=2-7=-5$

Plug in $x=-5$. This gives,

$y=5-7=-2$

Therefore, the set of all values of 'y' is the range.

Range is equal to { -10, -7, -5, -2 }.