Understanding Exponential Functions

The video tutorial guides viewers through identifying the graph of the exponential function f(x) = 2 * 3^x. It begins by explaining the function's characteristics, such as the Y-intercept and initial value. The concept of the common ratio is introduced, highlighting how it affects the function's growth. The tutorial then compares different graphs to determine which one accurately represents the function, emphasizing the importance of the Y-intercept and common ratio in making this determination.

What type of function is f(x) = 2 * 3^x?

• Quadratic

• Linear

• Logarithmic

• Exponential

What is the value of f(x) when x = 0 for the function f(x) = 2 * 3^x?

• 0

• 1

• 2

• 3

In the function f(x) = 2 * 3^x, what is the term used to describe the value when x = 0?

• Vertex

• Asymptote

• Initial Value

• Slope

What is the common ratio in the function f(x) = 2 * 3^x?

• 9

• 6

• 3

• 2

How does the function value change when x increases by 1 in f(x) = 2 * 3^x?

• It quadruples

• It doubles

• It triples

• It remains the same

Which graph feature helps in identifying the correct graph for f(x) = 2 * 3^x?

• X-intercept

• Y-intercept

• Vertex

• Slope

What is the y-intercept of the function f(x) = 2 * 3^x?

• 4

• 3

• 2

• 1

Which graph option was eliminated due to having a different y-intercept?

• Graph with y-intercept 1

• Graph with y-intercept 3

• Graph with y-intercept 4

• Graph with y-intercept 2

What should happen to the function value when x decreases by 1 in f(x) = 2 * 3^x?

• It should divide by three

• It should halve

• It should triple

• It should double

What is the function value of f(x) = 2 * 3^x when x = 2?

• 6

• 12

• 18

• 24