Download 1. A local store`s monthly revenue from T

Unit 5: Quadratic Functions
Interpreting Quadratic Functions
Interpreting Key Features of Quadratic Functions
1. A local store’s monthly revenue from T-shirt sales is modeled by the function f(x) = –5x2
+ 150x – 7. Use the equation and graph to answer the following questions: At what
prices is the revenue increasing? Decreasing? What is the maximum revenue? What
prices yield no revenue? Is the function even, odd, or neither?
2. A function has a minimum value of –5 and x-intercepts of –8 and 4. What is the value of x that
minimizes the function? For what values of x is the function increasing? Decreasing?
3. The table below shows the predicted temperatures for a summer day in Woodland, California.
At what times is the temperature increasing? Decreasing?
Identifying the Domain of a Quadratic Function
1.
Describe the domain of the quadratic function g(x) = 1.5x2
2. Describe the domain of the following function.
3. Amit is a diver on the swim team. Today he’s practicing by jumping off a 14-foot
platform into the pool. Amit’s height in feet above the water is modeled by f(x) = –16x2 +
14, where x is the time in seconds after he leaves the platform. About how long will it
take Amit to reach the water? Describe the domain of this function.
Identifying the Average Rate of Change
1. Calculate the average rate of change for the function f(x) = x2 + 6x + 9 between
x=1
and x = 3.
2. Use the graph of the function to calculate the average rate of change between x = –3 and
x = –2.
3. For the function g(x) = (x – 3)2 – 2, is the average rate of change greater between x = –1
and x = 0 or between x = 1 and x = 2?
4. Find the average rate of change between x = –0.75 and x = –0.25 for the following function.