Section 4.1: Exponential Functions

Flashcards reviewing exponential functions, transformations, and the natural exponential function.

What is a function of the form 𝑓(𝑥) = 𝑎𝑥 , 𝑎 > 0 𝑎𝑛𝑑 𝑎 ≠ 1 called?

Exponential Function with base a

What transformation occurs when you reflect the x-axis?

Reflect about the x-axis

What transformation occurs when you reflect the y-axis?

Reflect about the y-axis

What transformation occurs with Vertical Shifts (𝑐 > 0) when you add?

Shift up “c” units

What transformation occurs with Vertical Shifts (𝑐 > 0) when you subtract?

Shift down “c” units

What transformation occurs with Horizontal Shifts (𝑐 > 0) when you add?

Shift left “c” units

What transformation occurs with Horizontal Shifts (𝑐 > 0) when you subtract?

Shift right “c” units

What occurs in Vertical Stretching and Shrinking when c > 1?

Vertical Stretching

What occurs in Vertical Stretching and Shrinking when 0 < c < 1?

Vertical Shrinking

When there is more than one transformation, what order should they be completed?

Correct Order

What is the approximate value of e?

2.718

What is the Natural Exponential Function?

𝑓(𝑥) = 𝑒𝑥