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.