Mathematical Reflections 2

1.
a. The growth factor in an exponential line is how steep the curve is. The y-intercept is where the line starts on the y-axis. In a table, you divide the y of any x by the y of the x before it, and you get the growth factor. In a graph, you do the same, only you have to find the points, and divide the y values. In the equation y= a(b^x), b is the growth factor. To find the y-intercept in a table, you just look to where the x=o. On a graph, you just look at where the line crosses the y-axis. In the equation y=a(b^x), the y-intercept is a.

b. If you know what the y-intercept and growth factor are, you can plug them into the standard equation y= a(b^x).

2.
a. The a is the y-intercept, the b is the growth factor.

b. a is the y when x=o, and where the line crosses the y-axis

c. b is the steepness of the line.