How to determine, domain range, and the asymptote for an exponential graph

The video tutorial covers the basics of exponential graphs, focusing on their properties such as the Y-intercept, asymptotes, and how to graph them using a table of values. It explains the domain and range of exponential functions, emphasizing that the domain is all real numbers while the range is positive numbers only. The tutorial also highlights the importance of understanding the properties of exponents and how they affect the graph's behavior.

What is the Y-intercept of all basic exponential graphs without transformation?

• Depends on the base

• 0

• 1

• 2

What is the asymptote of a basic exponential function?

• Y = 1

• Y = 0

• X = 0

• X = 1

How do you calculate 2 raised to the power of -3?

• 8

• 1/8

• -1/8

• -8

What happens to the value of an exponential function as X becomes a large negative number?

• It becomes a large negative number

• It becomes a large positive number

• It approaches zero

• It remains constant

What is the domain of an exponential function?

• Numbers greater than zero

• All real numbers

• Only negative numbers

• Only positive numbers

Can an exponential function ever reach a value of zero?

• Yes, when X is negative

• No, it approaches zero but never reaches it

• No, it always stays above zero

• Yes, when X is zero

What is the range of a basic exponential function?

• All real numbers

• Negative numbers only

• Positive numbers greater than zero

• Numbers less than zero