Question

Given each function and domain, find the range values. y=3/5x+2; domain: {-10,0,5}

Answer 1

Given the function

$y=\dfrac{3}{5}x+2$

and its domain $\{-10,0,5\}$, its range is $\{-4,2,5\}$

The domain of a function is the set of all possible values that we can input to the function.

The range of a function is the set of all possible values that a function can output.

For the function

$y=\dfrac{3}{5}x+2$

if the domain is the set $\{-10,0,5\}$, we can get the range by substituting each value in the domain into the function. The resulting set of values gives the range of the function.

The range will then be

$\left\{\dfrac{3}{5}(-10)+2, \dfrac{3}{5}(0)+2,\dfrac{3}{5}(5)+2\right\}\\\\=\left\{3(-2)+2, 3(0)+2, 3(1)+2\right\}\\\\=\left\{-4, 2, 5\right\}$

Learn more about function domain and range here brainly.com/question/13824428