A vehicle goes to fill up with gas. Before pumping, the owner notices that the car still has 3 gallons of gas. The gas pump pumps gas at a rate of 2 gallons per minute.
The y-intercept of the graph for this scenario is (0,3) which means that the car started with or initially had 3 gallons in its tank.
The interval of increase is (0, infinity) which means that the amount of gasoline in the car's tank increases between 0 minutes and infinite minutes.
There is no interval of decrease in this graph which means that the car doesn't lose any gasoline in this scenario.
The interval where the function is positive is (0, infinity) which shows that the car always had gas in its tank.
There is no interval where the function is negative which shows that the car never had less than 0 gallons which is also impossible.
The end behavior of this graph is as x approaches positive infinity, y approaches positive infinity which shows the car continued to be filled with gas.
The y-intercept of the graph for this scenario is (0,3) which means that the car started with or initially had 3 gallons in its tank.
The interval of increase is (0, infinity) which means that the amount of gasoline in the car's tank increases between 0 minutes and infinite minutes.
There is no interval of decrease in this graph which means that the car doesn't lose any gasoline in this scenario.
The interval where the function is positive is (0, infinity) which shows that the car always had gas in its tank.
There is no interval where the function is negative which shows that the car never had less than 0 gallons which is also impossible.
The end behavior of this graph is as x approaches positive infinity, y approaches positive infinity which shows the car continued to be filled with gas.
The domain of the graph is the number of minutes the owner of the car fills the vehicle's tank.
Rate of Change
The rate of change for a linear function is the change in y-values divided by the change in x values. Rate of change is also commonly known as slope.
The formula for calculating the rate of change is this.
m = y2-y1/x2-x1
For example, the rate of change in this function is two.
The formula for calculating the rate of change is this.
m = y2-y1/x2-x1
For example, the rate of change in this function is two.