Graphing Exponential Functions: Key Concepts and Techniques

This video tutorial covers exponential and logarithmic functions, focusing on graphing exponential growth and decay. It explains the characteristics of exponential functions, including domain, range, and transformations. The tutorial also discusses modeling exponential growth in real-world scenarios, such as population and interest problems, and introduces exponential decay functions.

What is the base condition for an exponential growth function?

• The base is greater than 1

• The base is a negative number

• The base is equal to 1

• The base is less than 1

Tags

CCSS.HSF-IF.C.8B

Which of the following is true about the range of an exponential growth function?

• It includes all negative real numbers

• It includes all positive real numbers

• It includes all integers

• It includes all real numbers

Tags

CCSS.HSF-IF.C.7E

How does the graph of an exponential function behave as it moves from left to right?

• It decreases

• It oscillates

• It remains constant

• It increases

Tags

CCSS.HSF-IF.C.7E

What is the key difference between linear and exponential functions?

• Linear functions add the same value, exponential functions multiply by the same value

• Linear functions have a curved shape, exponential functions have a straight line shape

• Linear functions multiply the same value, exponential functions add the same value

• Linear functions are always increasing, exponential functions are always decreasing

What happens to an exponential function when you add a value outside the exponent?

• It compresses vertically

• It shifts vertically

• It reflects over the y-axis

• It shifts horizontally

Tags

CCSS.HSF.BF.B.3

If you subtract a value inside the exponent of an exponential function, what transformation occurs?

• It shifts to the left

• It shifts to the right

• It shifts up

• It shifts down

Tags

CCSS.HSF.BF.B.3

In the exponential growth model A(t) = A(1 + r)^t, what does 'r' represent?

• The rate of increase

• The time period

• The growth factor

• The initial amount

Tags

CCSS.HSF-IF.C.8B

What is the growth factor in the exponential growth model A(t) = A(1 + r)^t?

• r

• t

• A

• 1 + r

Tags

CCSS.HSF-IF.C.8B

What is the base condition for an exponential decay function?

• The base is between 0 and 1

• The base is a negative number

• The base is equal to 1

• The base is greater than 1

Tags

CCSS.HSF-IF.C.8B

In the exponential decay model A(t) = A(1 - r)^t, what does '1 - r' represent?

• The decay factor

• The decay rate

• The time period

• The initial amount

Tags

CCSS.HSF-IF.C.8B