First function:
y = kx
In this function, y varies directly with x. As x increases, y also increases proportionally. The graph of this function is a straight line passing through the origin (0,0). A real-world example of this function is the relationship between the number of hours worked and the amount of money earned. The more hours someone works, the more money they earn.
Second function:
y = k/x
In this function, y varies inversely with x. As x increases, y decreases and vice versa. The graph of this function is a hyperbola (a curve that approaches but never touches the x and y axes). A real-world example of this function is the relationship between the speed of a car and the time it takes to travel a certain distance. As the speed increases, the time taken to travel the distance decreases.
Third function:
y = x^2
In this function, the relationship between x and y is neither inverse variation nor direct variation. The graph of this function is a parabola that opens upwards. A real-world example of this function is the relationship between the distance traveled and the time taken to travel that distance for an object under constant acceleration.
In 6 total sentences Write three functions. In the first function, y should vary directly with x. In the second function, y should vary inversely with x. In the third function, the relationship between x and y should be neither inverse variation nor direct variation. Describe the graph of each function and give a real-world example for each.
1 answer
1 answer