Answered: For each of the four types of functions…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.9: Combining Functions

Problem 11CYU

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Question

For each of the four types of functions listed below, decide which of the pictures given represents each one.

Linear Function
Quadratic Function
Exponential Function
Rational Function

For each of the following pictures/functions assume the red curve/line has arrows on the end and continues on forever in a similar manner as its parent graph. After deciding which picture matches each function, use Desmos or a comparable graphing program to insert the pictures and determine specific characteristics for each function.

Characteristics Required for Graph of Each Function:

Parent function (name and equation) from which this function came from
Describe any transformations (specifically translations and/or reflections) from parent function (if any - state none if there aren't any)
Domain / Range
Y-intercept (if any - state none if there aren't any)
Zeros (if any - state none if there aren't any)
Any symmetry - if so is the function even or odd?
End behavior
Intervals of increasing, decreasing, and constant behavior