Question

which of the following functions has the values of its range decrease as the values in its domain increase ?

Answer 1

$y=-2x+4$

Explanation

the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

the function given are lines, in the form

$\begin{gathered} y=mx+b \\ \text{where m is the slope} \end{gathered}$

so, when the values of its range decrease as the values in its domain increase

in other words

when x increase , y decrease, it is a negative slope, then

$\begin{gathered} y=-2x+4 \\ \text{slope}=-2\Rightarrow negative \end{gathered}$

I hope this helps you