1a. To find the y-intercept for a table, you have to extend the table to when x=0. To find the growth factor, you have to find how much one value of y has grown from the previous value of y.
Using a graph, the same things basically apply. When x=0, you have the y-intercept, and when you find the growth between two values of y, you have the growth factor. In an equation, if you are thinking of the form "y=a(b^x)", then a=y-intercept and b=growth factor
1b. Thinking of the form of an exponential equation, if you find the y-intercept, it is a. If you find the growth factor, it is b. For example, if the y-intercept were 10 and the growth factor was 2, then the equation would be y=10(2^x).
2a. The values of a and b represent the y-intercept and the growth factor (respectively) in the exponential relationship.
2b. a is represented in a graph as the point where a line intersects the x value of 0.
2c. b is represented in a graph as the growth between two y values.
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I couldn't get on again.
1a. On a table the y-intercept is simply the y or dependent variable when the x or independent variable is at 0. In order to find the growth factor on a table you have to look at x's interval and apply that to the change in y. Once you find a number that works then you should test it on all of the numbers.
Finding the y-intercept on a graph is pretty easy. All you have to do is see where the line crosses the y-axis. The growth factor is slightly harder. You have to find 2 or more points on the line and subtract the y-intercept from them. Then you divide the high number in the y slot of the coordinate pair and divide it by the lower one. the quotient should be your growth factor.
1b.With the growth factor and y-intercept writing an exponential equation is very easy. The format for such an equation is y=a(b<x)+c. A in the equation is the y-intercept and b is the growth factor.All you have to do is right it out and if there is a c find it.
2a. In the equation a represents the y-intercept and b is the growth factor.
2b.A is represented on the graph by the line meeting the y-axis. As i said before a is the y-intercept which is found at the point where a line crosses with the y-axis.
2c. B is represented in the graph by the steepness or rapidity of steepness of the line. You can see the be by the speed at which the lines incline becomes more steep. In order to find the value of b you have to solve.
Nick S.
Reflection page 32
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