Day 1: Exponential Functions Exit Ticke

Front

What is an exponential function?

Back

Front

What is the general form of a logarithmic function?

Back

Front

What does it mean to stretch a function vertically?

Back

Stretching a function vertically means multiplying the function by a factor greater than 1, which increases the distance between points on the graph and the x-axis.

Front

What does it mean to compress a function vertically?

Back

Compressing a function vertically means multiplying the function by a factor between 0 and 1, which decreases the distance between points on the graph and the x-axis.

Front

How does a positive constant in front of a logarithmic function affect its graph?

Back

A positive constant in front of a logarithmic function stretches the graph vertically, making it steeper.

Front

How does a negative constant in front of a logarithmic function affect its graph?

Back

A negative constant in front of a logarithmic function reflects the graph across the x-axis and can also stretch or compress it vertically.

Front

Back

Front

Back

Front

What transformation occurs when you add a constant to a logarithmic function?

Back

Adding a constant to a logarithmic function shifts the graph vertically. If the constant is positive, it shifts up; if negative, it shifts down.

Front

What transformation occurs when you subtract a constant from the input of a logarithmic function?

Back

Subtracting a constant from the input of a logarithmic function shifts the graph horizontally. If the constant is positive, it shifts to the right; if negative, it shifts to the left.