Exploring Exponential Functions and Their Key Features

The video tutorial covers exponential functions, focusing on writing equations from verbal descriptions, evaluating functions, and understanding domain and range. It includes practical examples like car depreciation and population growth, explaining key concepts such as decay and growth factors, and interpreting graphs. The tutorial emphasizes critical thinking and real-world applications, providing a comprehensive understanding of exponential functions.

What is the primary focus of today's lesson?

• Exponential functions

• Quadratic functions

• Logarithmic functions

• Linear functions

If a car's value is depreciating at a rate of 4.8% per year, what is the B value in the exponential function?

• 1.048

• 0.952

• 1.048

• 0.048

What is the value of a car after 6 years if its initial value is $18,250 and it depreciates at 4.8% per year?

• $13,585.80

• $14,000.00

• $12,000.00

• $15,000.00

What is the domain of the exponential function modeling the car's value?

• All real numbers

• Positive integers only

• Numbers less than zero

• Numbers greater than or equal to zero

What is the y-intercept of the exponential function modeling the car's value?

• (0, 0)

• (0, 18,250)

• (0, 13,585.80)

• (1, 18,250)

What is the asymptote of the exponential function modeling the car's value?

• y = 18,250

• y = 0

• x = 0

• x = 18,250

What is the decay factor for a car depreciating at 1.2% per year?

• 0.998

• 0.988

• 1.012

• 0.012

If a car's initial value is $16,280 and it depreciates at 1.2% per year, what is its value after 8 years?

• $14,000.00

• $15,000.00

• $13,585.80

• $14,800.00

What is the B value for a population increasing at a rate of 3.1% per year?

• 1.031

• 0.969

• 0.031

• 1.31

If a town's population is 18,000 in 2020 and it increases at 3.1% per year, what is the predicted population in 2025?

• 20,000

• 21,000

• 21,500

• 20,500