Download Lesson 12.2B - Coweta County Schools

Comparing
ComparingFunctions
Functions
• How do we compare properties of two
functions?
• How do we estimate and compare rates
of change?
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Algebra 2Algebra 2
Holt
Comparing Functions
Sketching Graphs of Functions Given Key Features.
1. The graph for the height of a diving bird above the water
level, h(t), in feet after t seconds passes through the points
(0, 5), (3, -1), and (5,15). Sketch a graph of the quadratic
function that models the situation. Find the point that
represents the minimum height of the bird.
Use a graphing calculator to perform a quadratic regression on the data.
Graph the equation and use the Minimum Feature
to locate the minimum.
y  2 x  8x  5
2
Holt McDougal Algebra 2
Minimum of 3
Occurs when x = 2
Comparing Functions
Sketching Graphs of Functions Given Key Features.
2. The height of a model rocket after launch is tracked in the
table. Find and graph a quadratic function that describes
the data.
Use a graphing calculator to perform a quadratic regression on the data.
Graph the equation and use the Maximum Feature
to locate the maximum.
y  16 x  60 x  5
2
Holt McDougal Algebra 2
Maximum of 61.25
Occurs when x = 1.87
Comparing Functions
Lesson 12.2 Practice B
Holt McDougal Algebra 2