1. a. To find the y-intercept and growth factor from a table you look at when x is 0 and that is the y-intercept. To find the growth factor from the table you have to figure out how it got from when x is 0 to when x is 1 and then try it out to see if the pattern continues. To fing the y-intercept on a graph you just find where y is when x is 0. To find the growth factor from a graph you have to look at some of the points and see how it is getting from one point to another like in the graph. To find the y-intercept from the equation a(b)^x, a is the y-intercept. The growth factor is b.
b. To write an equation from the y-intercept and the growth factor, you plug it into the equation a(b)^x. The y-intercept is a and the growth factor is b.
2. a. a=y-intercept and b=growth factor
b. a is the y-intercept on the graph. It is where y is when x=0.
c. b is the steepness of the graph.
Monday, March 22, 2010
Sunday, March 21, 2010
Mathematical Reflections 2
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.
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.
Math Reflections 2
1a. You can use a table to find the y-intercept by extending it until x=0. You can use it to find the growth factor by figuring out the pattern in the x- and y-values. You can use a graph to find the y-intercept by finding the point where the line crosses the y-axis. You can use it to find the growth factor by finding the relationship between different points. In the equation y=a(b)^x, a is the y-intercept and b is the growth factor.
b. The form for an exponential equation is y=a(b)^x, where y=the dependent variable, x=the independent variable and the exponent, a=the y-intercept, and b=the growth factor.
2a. In the equation y=a(b)^x, a=the y-intercept and b=the growth factor.
b. In a graph of y=a(b)^x, a is the y-intercept.
c. In a graph of y=a(b)^x, b is the growth factor and it determines the steepness of the line.
b. The form for an exponential equation is y=a(b)^x, where y=the dependent variable, x=the independent variable and the exponent, a=the y-intercept, and b=the growth factor.
2a. In the equation y=a(b)^x, a=the y-intercept and b=the growth factor.
b. In a graph of y=a(b)^x, a is the y-intercept.
c. In a graph of y=a(b)^x, b is the growth factor and it determines the steepness of the line.
Saturday, March 20, 2010
Math Reflections 2
1a. You can use a table, graph, and an equation to find the y-intercept and growth factor for an exponential relationship. In a table, the y-intercept is when x=0. The growth factor is by what number the y is multiplied by per x. Using a graph, wherever the line crosses the y-axis, that is the y-intercept. The growth factor is the number that is multipled to get from y when x=1 to when x=2, and etc. Also, taking the equation y=a(b^x), a is the starting point, or the y-intercept, and b is the growth factor.
1b. If given that the y-intercept is 2, and the growth factor is 5, we can come up with the exponential equation y=2(5^x). To form the equation, we use the form y=a(b^x). We plug in the y-intercept for a, and the growth factor for b.
2a. In the equation y=a(b^x), a is the y-intercept, and b is the growth factor.
2b. In the graph of y=a(b^x), a is the y-intercept for when x=o.
2c. In the graph of y=a(b^x), b is the multiplier to get from y when x=1 to when x=2, and so on.
1b. If given that the y-intercept is 2, and the growth factor is 5, we can come up with the exponential equation y=2(5^x). To form the equation, we use the form y=a(b^x). We plug in the y-intercept for a, and the growth factor for b.
2a. In the equation y=a(b^x), a is the y-intercept, and b is the growth factor.
2b. In the graph of y=a(b^x), a is the y-intercept for when x=o.
2c. In the graph of y=a(b^x), b is the multiplier to get from y when x=1 to when x=2, and so on.
math reflection 2
1.a. To find the y-intercept in a table, you have to extend the table until x equals 0. Whatever y is when x is 0 is your y-intercept. To find the y-intercept on a graph, you have to find the point where the line passes throught the y-axis. Again, when x is 0, whatever the value is of why is your y-intercept. To find the y-intercept in an equation, you have to find the initial value, which is the a variable in the equation and also when x is 0.
b. To write an equation for an exponential relationship with the y-intercept and the growth factor is simple. In the formula y=a(braised to the x), a is the y-intercept and b is the growth factor and you raise it to the value of x.
2.a. In the equation y=a(b raised to the x) the variable a represents the initial value or value when the value of x is 0(y-intercept). The variable b represents the groeth factor which decides the steepness of the line. If the value of y doubles from one x value to the next, the growth factor is two, and if it triples the growth factor is three etc.
b. The variable a is the y-intercept.
c. The variable b is the growth factor.
b. To write an equation for an exponential relationship with the y-intercept and the growth factor is simple. In the formula y=a(braised to the x), a is the y-intercept and b is the growth factor and you raise it to the value of x.
2.a. In the equation y=a(b raised to the x) the variable a represents the initial value or value when the value of x is 0(y-intercept). The variable b represents the groeth factor which decides the steepness of the line. If the value of y doubles from one x value to the next, the growth factor is two, and if it triples the growth factor is three etc.
b. The variable a is the y-intercept.
c. The variable b is the growth factor.
Friday, March 19, 2010
Thursday, March 18, 2010
Growing, Growing, Growing Problem 2.2 & 2.3
Exponential equations & graphs
Growing, Growing ,Growing Problem 2 2 & 2 3
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