1. a. You can find the y-intercept in an exponential relationship by using a table, a graph, and an equation. You can find the y-intercept from a table by looking at the y when the x is zero on the table. Whatever the y is will be the y-intercept. you can find the y-intercept from a graph by looking at where the line passes the y axis and that will be the y-intercept. You can find the y-intrcept from an equation by looking at the number that is being multiplied by a number with an exponent and that will be the y-intercept.
You can also find the growth factor in an exponential relationship by using a table, a graph, and an equation. you can find the growth factor from a table by looking at ho much y is being multiplied by for each x and that will be the growth factor. You can find the growth factor from a graph by looking at how much y is multiplied on the graph for every x and that will be the growth factor. You can find the growth factor of an equation by seeing what number has an exponent and that will be the growth factor.
1. b. You can use the y-intercept and growth factor to write an equation for an exponential relationship. You can put the y-intercept first and have it multiplied by the growth factor with an exponent of whatever number x the problem is at.
2. a. In the equation y=a(b^x), a is the initial value of the exponetial relationship and b is the growth factor of the exponetial relationship.
2. b. In a graph of y=a(b^x), a is the y-intercept.
2. c. In a graph of y=a(b^x), b is the amount y goes up for every time x goes up one interval or the steepness of the line.
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