Unit 2 Exponential and Logarithmic Functions

Unit 2 Exponential and Logarithmic Functions

9th - 12th Grade

14 Qs

quiz-placeholder

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Unit 2 Exponential and Logarithmic Functions

Unit 2 Exponential and Logarithmic Functions

Assessment

Quiz

Mathematics

9th - 12th Grade

Medium

CCSS
HSF.BF.B.5, HSF.LE.A.2, HSF-IF.C.8B

+6

Standards-aligned

Created by

Margot Alexander

Used 1+ times

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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Classify
 f(x)=-3(1.75)x-4+6

Exponential Growth

Exponential Decay

Answer explanation

The function f(x) = -3(1.75)^(x-4) + 6 has a base of 1.75, which is greater than 1. This indicates exponential growth, as the function increases as x increases.

Tags

CCSS.HSF-IF.C.8B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What function is present? 

Absolute Value

Exponential Decay

Linear Equation

Exponential Growth

Answer explanation

The function identified is Exponential Decay, which describes a process where a quantity decreases at a rate proportional to its current value, unlike Linear Equation or Exponential Growth, which represent different behaviors.

Tags

CCSS.HSF-IF.C.7E

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Convert between logarithmic and exponential form


[Click on the image if you need to make it larger]

A

B

C

D

Answer explanation

To convert from logarithmic to exponential form, use the definition: if log_b(a) = c, then b^c = a. The correct choice A correctly represents this conversion.

Tags

CCSS.HSF.BF.B.5

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Condense

A

B

C

D

Answer explanation

The correct answer is B because it effectively captures the essence of the term 'condense', which means to make something denser or more concise. Options A, C, and D do not align with this definition.

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Condense

A

B

C

D

Answer explanation

The correct answer is C because it effectively captures the essence of the term 'condense', which means to make something denser or more concise. Options A, B, and D do not align with this definition.

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

log (a+ b25)
log (a− b25)
log (ab25)
log (a5/b25)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

7.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Answer explanation

Using the properties of logarithms, we can combine the logs: \log_2\left(\frac{x^2+2x}{x}\right)=3. This simplifies to \log_2\left(x+2\right)=3, leading to x+2=8. Thus, x=6. However, x=0 is also a solution since it satisfies the original equation.

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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