Question

Tyler makes $10 per hour at his job.The function f(x)=10x gives the amount of money Tyler makes after x hours.Graph this function and give its domain and range.

Answer 1

You will have the points: (0,0) and (1,10) and (2,20) and (3,30) etc etc

Plot at least 2 of these points. Then draw a line through them.

Each point has an x,y pair such that the y value is ten times the x value

For example, if x = 2, then

y = 10*x = 10*2 = 20

so that shows how (2,20) is one of the points.

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The domain would be the set of positive whole numbers assuming Tyler can only work a whole number of hours. If partial time values are accepted, then the domain would be the set of positive real numbers. Negative x values are not allowed as Tyler can't work negative 3 hours for instance.

In a similar fashion, the range is the set {0, 10, 20, 30, 40, ...} incrementing by multiples of 10 if x is the set of positive whole numbers. If x is the set of positive real numbers, then y can be 0 or larger which sets up the range of y being the set of positive real numbers as well.