University:
Amherst College
Course:
MATH 106 | Calculus with Elementary Functions
Academic year:

2022
Views:

232

Pages:

3
Author:

Prince Sampson

Algebra 1 ‭ ‭ Relations & Functions Test Review 1 ‭ ‭ 1) the relation ‭ Express ‭ {(7, ‭ ‬ 5), ‭ ‬ (8, ‭ ‬ −2), ‭ ‬ (7, ‭ ‬ ‭6), ‬ (−4, ‭ ‬ −9), ‭ ‬ (0, ‭ ‬ −2)} ‭‬ ‭as a table and a mapping diagram. ‭a)‬‭Identify the domain and range of the relation.‬ ‭b)‬‭Is the relation a function?‬ ‭For each relation, determine the domain and range. Tell whether the relation is a function.‬ ‭2)‬ ‭3)‬ ‭Domain: _________________________‬ ‭Domain: _________________________‬ ‭Range: __________________________‬ ‭Range: __________________________‬ ‭Is the relation a function? ___________‬ ‭Is the relation a function? ___________‬ ‭4)‬‭Determine if each relation is a function.‬ ‭Identify each variable as independent or dependent.‬ ‭5)‬‭The more time you spend studying, the better‬ ‭your grade will be on your quiz.‬ ‭6)‬‭The faster you drive, the quicker you will‬ ‭arrive‬‭at your destination.‬ ‭Independent: ______________________________‬ ‭Independent: ______________________________‬ ‭Dependent: _______________________________‬ ‭Dependent: _______________________________‬ ‭Use the graph below to evaluate the function.‬ ‭7)‬ ‭Given‬ ‭𝑓‬(‭𝑥)‬ = ‭2‬‭𝑥‬ − ‭3‬ ‭and‬ ‭a)‬ ‭𝑓(‬ −‭8)‬ = ‭d)‬ ‭find x if‬‭𝑓(‬ ‭𝑥‬) = ‭6‬ ‭b)‬ ‭𝑓(‬ ‭8)‬ = ‭e)‬ ‭find x if‬‭𝑓(‬ ‭𝑥‬) = ‭4‬ ‭c)‬ ‭𝑓(‬ −‭2)‬ = ‭f)‬ ‭find x if‬‭𝑓(‬ ‭𝑥‬) = ‭2‬ ‭ℎ‬(‭𝑥)‬ = −‭4‬‭𝑥‬ ‭evaluate the following:‬ ‭8)‬ ‭𝑓(‬ −‭8)‬ ‭9)‬ ‭ℎ‬(‭3)‬ ‭10)‬ ‭𝑓(‬ ‭2)‬ + ‭ℎ‬(−‭5)‬ ‭11)‬ ‭ℎ‬(‭0)‬ − ‭𝑓‬(‭1)‬ ‭12)‬ ‭find x if‬‭𝑓(‬ ‭𝑥‬) = −‭31‬ ‭13)‬ ‭find x if‬‭ℎ‬(‭𝑥‬) = −‭12‬ ‭Solve for y in each equation. Write y on the left side.‬ ‭14)‬ ‭2‭𝑥 ‬ ‬ − ‭6‭𝑦 ‬ ‬ = ‭8‬ ‭15)‬ ‭5‬ − ‭𝑦‬ = ‭𝑥‬ ‭Make a table and graph.‬ ‭17)‬ ‭4‬‭𝑦‬ = ‭4‬‭𝑥‬ + ‭8‬ ‭18)‬ ‭𝑦‬ + ‭3‬ = ‭𝑥‬ + ‭5‬ ‭2‬ ‭𝐷‬ = {−‭8‬, −‭4‬, ‭0‬, ‭4‬, ‭8}‬ ‭16)‬ ‭3‭𝑦 ‬ ‬ − ‭2‭𝑥 ‬ ‬ = ‭9‬

Relations and Functions Test Review 1

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