Unit 9 - Modeling and Regression Study Guide - Miss Douglas | Library

1

Use the piecewise function to determine the following:

Domain:_______
Range:_______ 
Root(s):_______ 
Y-Intercept:_______ 
Increasing Interval:_______ 
Decreasing Interval:_______ 
Constant Interval:_______ 

1

Use the piecewise function to determine the following:


Domain:_______
Range:_______ 
Root(s):_______ 
Y-Intercept:_______ 
Increasing Interval:_______ 
Decreasing Interval:_______ 
Constant Interval:_______ 

1

Given the piecewise function, what is f(1)?

1

Given the piecewise function, what is f(-4)?

1

The path of a model rocket can be described by the quadratic function 
where y represents the height of the rocket, in meters, at time x seconds after takeoff.

a. What is the maximum height reached by the rocket?_______ 

b. When does the rocket reach its maximum height? _______ 

c. At what time does the rocket hit the ground?_______ 

1

A baseball is hit and follows a parabolic path described by the function 
where t is the time in seconds after the ball is hit and h(t) is the height of the ball above the ground in meters. 

a. What is the maximum height reached by the ball?_______ 

b. What is the initial height of the ball when it is hit?_______ 

1

The number of tomatoes produced in a crop at various summer temperatures is shown in the graph below. Which is the regression model that best represents this data?

1

The number of minutes napped per day compared to age is modeled by the graph below. Which is the regression model that best represents this data?

1

A projectile is launched into the air from the ground. The table shows the height of the projectile at different times.

1

The table below compares the distance a ball has traveled and the height.

a. Find the following regression equations with all values rounded to three decimal places for r2 round to four decimal places.

Quadratic:_______ 
r2   _______ 
Exponential:_______ 
r2   _______ 

b. Use your best fit model to predict the height of the ball after it has traveled for 17 feet. Round to three decimal places. _______

1

Suppose y varies directly as the square of x and y=12 when x=2. 

a. Write y as a function of x. _______ 

b. Find the value of y when x=4. _______ 

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If y varies directly as the square of u and inversely as the cube of v, and y=4 and u=2 and v=2,

a. Express y as a function of u and v. _______ 

b. Find the value of y when u=4 and v=4. _______ 

1

Neglecting air resistance, the distance a rock falls from rest varies directly as the square of time. If a rock falls 64 feet in 2 seconds, how far will it have fallen in 5 seconds?