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`

Step-by-step 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