Exploring Graphs of Exponential Functions

This video tutorial covers exponential functions, including their definition, properties, and graphing techniques. It explains exponential growth and decay, highlighting the characteristics of each. The tutorial also explores the symmetry and reflection of exponential functions and discusses real-life applications such as population growth and radioactive decay.

What is the base of an exponential function if f(x) = b^x and b is greater than 0 but not equal to 1?

• The coefficient

• The base

• The exponent

• The variable

Tags

CCSS.HSF-IF.C.8B

If b is between 0 and 1 in an exponential function f(x) = b^x, what type of function is it?

• Quadratic function

• Linear function

• Exponential decay

• Exponential growth

Tags

CCSS.HSF-IF.C.8B

What is the y-intercept of the function f(x) = 2^x?

• (0, 2)

• (0, 1)

• (1, 0)

• (0, 0)

Tags

CCSS.HSF-IF.C.7E

What happens to the value of f(x) = 2^x as x approaches negative infinity?

• It approaches 1

• It approaches 2

• It approaches infinity

• It approaches 0

Tags

CCSS.HSF-IF.C.7E

In the function f(x) = (1/2)^x, what is the value of f(-1)?

• 1/4

• 1/2

• 2

• 4

Tags

CCSS.HSF-IF.C.8B

What is the horizontal asymptote of the function f(x) = (1/2)^x?

• y = 1

• y = 0

• y = -1

• y = x

Tags

CCSS.HSF-IF.C.7D

What is the relationship between the graphs of f(x) = 2^x and f(x) = 2^-x?

• They are translations

• They are reflections across the x-axis

• They are reflections across the y-axis

• They are identical

Tags

CCSS.HSF.BF.B.3

Which of the following is an example of exponential growth?

• Cooling of a hot object

• Population growth

• Medication dosage

• Radioactive decay

Tags

CCSS.HSF-LE.A.1A

Which of the following is an example of exponential decay?

• Radioactive decay

• Population growth

• Internet users growth

• Bacteria growth

Tags

CCSS.HSF-LE.A.1A

What is the website mentioned for exploring population growth?

• mathworld.com

• intmath.com

• populationgrowth.com

• exponentialfunctions.com