Overview of exponential graphs

The video provides an overview of exponential functions, explaining their form and how to identify them. It covers graphing techniques, including domain, range, and intercepts, and discusses transformations such as shifts and reflections. The video emphasizes the importance of having the variable as the exponent in exponential functions.

Which of the following is a characteristic of an exponential function?

• The base is a variable.

• The function is always linear.

• The exponent is a constant.

• The variable is in the exponent.

What is the range of a typical exponential function?

• Negative infinity to positive infinity

• Zero to positive infinity

• Zero to one

• Negative infinity to zero

Which of the following is true about the x-intercept of an exponential function?

• It is always at (0,1).

• It is always at (1,0).

• It does not exist.

• It is always at (0,0).

What happens to the graph of an exponential function when a constant is added outside the function?

• It shifts left or right.

• It reflects over the x-axis.

• It shifts up or down.

• It becomes a linear function.

How does adding a constant inside the function affect the graph of an exponential function?

• It shifts the graph left or right.

• It changes the base of the function.

• It shifts the graph up or down.

• It reflects the graph over the y-axis.

What is the effect of a negative sign outside the exponential function?

• It reflects the graph over the y-axis.

• It shifts the graph down.

• It reflects the graph over the x-axis.

• It shifts the graph up.

What does a negative exponent in an exponential function indicate?

• The graph shifts up.

• The graph reflects over the y-axis.

• The graph shifts down.

• The graph reflects over the x-axis.