University:
Missouri State University
Course:
MTH 103 | Intermediate Algebra
Academic year:

2021
Views:

213

Pages:

5
Author:

Alexa Livingston

Name: ANSWER KEY Date: ______________________________ Algebra 2/Trigonometry UNIT 6: Exponential & Logarithmic Functions - REVIEW Section 1: Given each function, provide an example of a graph that will match each description (NC). Then, graph only the exponential equations (all f(x) equations). 1.) ( ) DESCRIPTION ( ) ( ) a) Horizontal shift LEFT 3 units ( ) ( ) ( ) b) Horizontal shift RIGHT 2 units ( ) ( ) ( ) c) Vertical shift UP 4 units ( ) ( ) ( ) d) Vertical shift DOWN 5 units ( ) ( ) ( ) e) Reflection over the -axis ( ) ( ) f) Reflection over the -axis ( ) ( ) See last page for graphs of f(x) SECTION 2: Rewrite each exponential equation in logarithmic form 2.) 3.) 4.) 5.) SECTION 3: Rewrite each logarithmic equation in exponential form 6.) 7.) 8.) 9.) SECTION 4: Evaluate 10.) 11.) 12.) 13.) 14.) 15.) 16.) 17.) 18.) ( ) ( ) Name: ANSWER KEY Date: ______________________________ Algebra 2/Trigonometry UNIT 6: Exponential & Logarithmic Functions - REVIEW SECTION 5: Expand each logarithmic expression. Your answer may not contain any expressions or radicals. 19.) ( √ ) ( 20.) ( √ ) ) SECTION 6: Condense each logarithmic expression 21.) ( ( 22.) √ ) ( ) SECTION 7: Solving Exponential Equations 23.) 24.) 25.) 26.) ( 27.) 28.) ) ) Name: ANSWER KEY Date: ______________________________ Algebra 2/Trigonometry UNIT 6: Exponential & Logarithmic Functions - REVIEW SECTION 8: Solving Logarithmic Equations ( 29.) ( ) 30.) ) 31.) ( 32.) ( ( 33.) ( ) ( 34.) ) ( ( ) ( ) ( ) ) ( ) ) ( ( 35.) )( ) ) ) ( ) ( ) ( 36.) ( ( ) ) ) ) Algebra 2/Trigonometry UNIT 6: Exponential & Logarithmic Functions - REVIEW Name: ANSWER KEY Date: ______________________________ SECTION 9: Application Problems ( Simple Compound Interest: ) Continuous Compound Interest: 37.) Emily plans to put her graduation money into an account and leave it there for 4 years while she goes to college. She receives $1,050 in graduation money to college that she puts into an account that earns 4.25%. How much money will be in Emily’s account at the end of four years if it is compounded? a.) Quarterly? ( ) b.) Monthly? ( ) c.) Continuously? 38.) The number of people infected by the flu in a particular region after hours is given by: ( ) where . a.) Is this a growth or decay problem? b.) What is the initial population of people infected by the flu? c.) What is the population of people infected by the flu after 12 hours? d.) What is the population of people infected by the flu after 1 day? 39.) The population of mosquitoes after days is given by: ( ) a.) Is this a growth or decay problem? b.) What is the initial population of mosquitoes? c.) What is the population of mosquitoes after 1 day? d.) What is the population of mosquitoes after 72 hours? where . Algebra 2/Trigonometry UNIT 6: Exponential & Logarithmic Functions - REVIEW Name: ANSWER KEY Date: ______________________________ Section 1: Graphs a) f(x) =3x+3 b) f(x) =3x-2 c) f(x) = 3x+4 d) f(x)= 3x-5 e) f(x) = -3x f) f(x)=3-x