Initial Values in Exponential Functions

The video tutorial explains how to determine the initial value of an exponential function using both a table of values and a graph. It highlights that the initial value, represented by 'a' in the equation y = a * B^x, is found where x equals 0. The tutorial demonstrates this by showing that when x is 0, the y value is 10, making the initial value 10. This concept is applied to both a table and a graph, emphasizing the importance of identifying the y-intercept as the initial value.

What is the initial value of an exponential function when x equals 0 in a table of values?

• The value of x when y equals 0

• The value of y when x equals 0

• The value of y when x equals 1

• The value of x when y equals 1

In the given example, what is the initial value of the exponential function from the table?

• 5

• 10

• 15

• 20

How is the initial value represented in the equation of an exponential function?

• As the exponent x

• As the base B

• As the coefficient a

• As the variable y

What is the equation form of an exponential function with an initial value of 10?

• y = 10^x * B

• y = x * 10^B

• y = 10 * B^x

• y = B * 10^x

Where do you find the initial value of an exponential function on a graph?

• At the lowest point of the graph

• At the highest point of the graph

• Where the graph crosses the y-axis

• Where the graph crosses the x-axis

In the graph example, what is the initial value of the exponential function?

• 20

• 15

• 10

• 5