Horizontal Asymptotes and Initial Values

The video tutorial from KH Academy explains how to graph basic exponential functions. It begins by introducing the concept of exponential functions, highlighting the initial value and common ratio. The tutorial then demonstrates how to graph these functions using a graphing tool, focusing on defining key points and horizontal asymptotes. A second example is provided, illustrating the graphing process with a negative initial value. The video emphasizes understanding the behavior of exponential functions as x approaches infinity or negative infinity.

What is the initial value of the function H(x) = 27 * (1/3)^x?

• 1

• 27

• 1/3

• 9

What is the common ratio in the function H(x) = 27 * (1/3)^x?

• 9

• 3

• 1/3

• 27

Tags

CCSS.HSF.IF.A.2

What is the value of H(x) when x = 1?

• 27

• 9

• 3

• 1

Tags

CCSS.HSF-IF.C.7E

What happens to the value of H(x) as x becomes very large?

• It becomes negative

• It approaches 0

• It approaches 27

• It remains constant

Tags

CCSS.HSF-IF.C.7E

What is the horizontal asymptote of the function H(x) = 27 * (1/3)^x?

• y = -27

• y = 1

• y = 0

• y = 27

Tags

CCSS.HSF.IF.A.2

What is the value of H(x) when x = 2?

• 3

• 1

• 27

• 9

What is the initial value of the function G(x) with a negative initial value?

• 60

• -60

• 30

• -30

Tags

CCSS.HSF.IF.A.2

What is the value of G(x) when x = 1 for the function with a negative initial value?

• 60

• -30

• -60

• 30

Tags

CCSS.HSF-IF.C.7E

What happens to the value of G(x) as x becomes very negative?

• It approaches 30

• It becomes positive

• It remains constant

• It approaches 0

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote of the function G(x) with a negative initial value?

• y = -60

• y = 30

• y = 0

• y = -30

Tags

CCSS.HSF-IF.C.7D