Which quadrants and axes does f(x)=5sqrt(x+5) pass through?

1 Answer
MeneerNask
Nov 25, 2015

This is a domain and range question.

Explanation:

A radical function can only have a non-negative argument and a non-negative outcome.
So x+5>=0->x>=-5 and also y>=0
This means that f(x) can only be in the first and second quadrant.

Since the function is positive when x=0 it will cross the y-axis.
Since f(x)=0 when x=-5 it will touch (but not cross) the x-axis
graph{5*sqrt(x+5) [-58.5, 58.5, -29.26, 29.3]}

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