Chapter 4 Test Format and Material 23 questions (100 points) Material covers 4-1 Exponential...

Chapter 4 TestFormat and Material

23 questions (100 points) Material covers

4-1 Exponential Functions, Growth and Decay 4-2 Inverses of Functions and Relations 4-3 Logarithmic Functions 4-4 Properties of Logarithms 4-5 Exponential and Logarithmic Equations and Inequalities 4-6 The Natural Base, e 4-7 Transforming Exponential and Logarithmic Functions 4-8 Curve Fitting with Exponential and Logarithmic Models

WHINING

Chapter 4 TestPerformance Objectives

1. Students should be able to…

tell whether a given exponential function

shows decay or growth and justify their

answer.

(p. 238: 7-9)



use the formula for growth or decay by a

constant percent to set up a model and use it to

answer questions.

(pp. 238-239: 10, 11, 15, 17, 21, 28)

( ) 1t

A t a r


Students should be able to…

3. write the inverse of a function.(p. 246: 20-28)



a. graph a relation given a table of points.

b. write a table of points for the inverse and

then graph the inverse

(p. 245: 18-19)



5. convert a logartihmic or exponential

equation to the other form.

(p. 253: 17-24)



6. use the change of base formula to rewrite a

logarithmic expression in terms of a

specified base, then evaluate.

(p. 260: 17, 18, 34)

loglog

loga

ba

xx

b



7. use properties of logarithms to

simplify logarithmic expressions.

(pp. 260-261: 26-31, 40-45)



8. solve exponential and logarithmic

equations algebraically.

(p. 270: 21-26, 28-33)



9. simplify expressions involving e and

natural logarithms.

(p. 278: 17-20)



10. use the formula for continuously

compounded interest to set up a

model and use it to answer questions.

(p. 278: 21)

( ) rtA t Pe


11. Given a transformation of an exponential or logarithmic

function (like ),

students should be able to…

a. find the asymptote.

b. state the domain and range.

c. find the intercepts.

d. describe the transformation.

(p. 286: 16-27, 38, 39)

( ) ln( 2 ) 7f x x



12. determine whether a set of numbers can

be described with an exponential

function and if so, find the common ratio.

(p. 292: 8-11)



13. use exponential or logarithmic

regression to model a data set and use

the model to answer questions.

(p. 293: 12-14)

Chapter 4 Test Review

Chapter 4 Test Practice Problems

Preparing for the Chapter 4 Test

You should look over the homework assignments for the chapter.

You should make sure you understand what responses are expected for the problems specified in this review.

Program any formulas you want to use in the memory of your calculator.

Know the transformation effects of additive constants, multiplicative

constants & sign changes!

You should NOT show up tomorrow without having prepared at all for this test!

You should get a good night’s sleep tonight and eat a good breakfast tomorrow morning.

Keys To Being Successful On Tests In Honors Algebra II / Trigonometry

Prepare effectively.

Read and follow directions carefully!

Show work to justify your answers.

Chapter 4 Test Format and Material 23 questions (100 points) Material covers 4-1 Exponential...

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Transcript of Chapter 4 Test Format and Material 23 questions (100 points) Material covers 4-1 Exponential...