Graphing and Writing Exponential Functions

What is the average rate of change between when x = -1 and x = 0?

• -2

• 2

• 1/2

• -1/2

Iris founded a new town, Iristown. The population of Iristown after x years can be modeled by the function p(x) = 1500(1.1)^x. On average, how fast is the population increasing between years 0 and 10?

• ~212 people/year

• ~251 people/year

• ~239 people/year

• ~391 people/year

What is the DOMAIN of the function and how does it relate to the real-world context? (Click on the picture to make it larger!)

• $x\ge0$ The amounts of years is strictly decreasing.

What is the RANGE of the function and how does it relate to the real-world context? (Click on the picture to make it larger!)

What is the ASYMPTOTE of the function and how does it relate to the real-world context? (Click on the picture to make it larger!)

What is the range of f(x)?

What does the y-intercept of the graph represent?

• The amount of grams the material is gaining.

• The amount of grams the material is losing.

• The amount of grams remaining after so many years.

• The initial amount of grams.

The graph of an exponential function is shown on the grid.

Which equation best models the graph?

Which function represents the same relationship?

Which function represents the same relationship?