Unit 2 Exponential and Logarithmic Functions

Quiz
•
Mathematics
•
9th - 12th Grade
•
Medium
+6
Standards-aligned
Margot Alexander
Used 1+ times
FREE Resource
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
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
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
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
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
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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