Math Performance Task

General Mathematics Q2 Module 1:

​Exponential Functions: A Problem-solving in Perspective

Checkpoint​

Get ready for 1 question 🚦​

Poll

I have finished the following required activities for Q2 Modules 1 and 2...

• Module 1 Post-Assessment

  (Written Work)

• Module 1 What I Can Do

  (Performance Task)

• Module 2 Post-Assessment

  (Written Work)

• Module 2 What I Can Do

  (Performance Task)

• I have yet to finish these activities

Psych Up!

Get ready for 1 questions 🚦​

Multiple Select

Which of the following graphs show exponential functions?

Multiple Select

Which of the following graphs show exponential growth functions?

Multiple Select

Which of the following graphs show exponential decay functions?

Multiple Choice

What is the domain and range of an exponential function?

• Domain: all real numbers

  Range: all positive real numbers

• Domain: all positive real numbers

  Range: all positive real numbers

• Domain: all real numbers

  Range: all real numbers

• Domain: all positive real numbers

  Range: all real numbers

Multiple Select

Which of the following equations show exponential decay functions?

• $$f\left(x\right)=\left(\frac{1}{9}\right)^{3x}$$  

• $$g\left(x\right)=0.6^x$$  

• $$h\left(x\right)=e^{-2x}$$  

• $$j\left(x\right)=3^x$$  

• $$k\left(x\right)=\frac{1}{2}e^x$$  

Multiple Select

Which of the following equations show exponential growth functions?

• $$f\left(x\right)=\left(\frac{1}{9}\right)^{3x}$$  

• $$g\left(x\right)=0.6^x$$  

• $$h\left(x\right)=e^{-2x}$$  

• $$j\left(x\right)=3^x$$  

• $$k\left(x\right)=\frac{1}{2}e^x$$  

Multiple Choice

What are the x and y intercepts of the function $$k\left(x\right)=\frac{1}{2}e^x$$  ?

• x-intercept: none

  y-intercept: none

• x-intercept: (½, 0)

  y-intercept: none

• x-intercept: (½, 0)

  y-intercept: (0, ½)

• x-intercept: none

  y-intercept: (0, ½)

Multiple Choice

Which of the following statements are true about exponential functions?

Statement 1: All exponential functions are one-to-one functions.

Statement 2: All exponential functions have y = 0 as their vertical asymptote.

• Both 1 & 2

• 1 only

• 2 only

• Neither 1 & 2

Multiple Choice

Suppose that a student has 500 vocabulary words to learn. If the student learns 15 words after 5 minutes, the function

$$L=500\left(1-e^{-0.0061t}\right)$$  

approximates the number of words L that the student will

learn after t minutes. How many words will the student learn after 30 minutes?

• 84 words

• 83 words

• 86 words

• 88 words

Multiple Choice

The price p, in pesos, that is x years old is modeled by

$$p\left(x\right)=120,560\left(0.90\right)^x$$  

How much should a car from 2018 cost today?

• ₱87,888.24

• ₱97,653.60

• ₱97,200.00

• ₱78,732.00

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