QUIZ 1 FUNCTIONS

1. Which of the following diagram represents a relation that is NOT a function?

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• 
• 
• 

2. For which value/s of k is the set of ordered pairs

{(2,4), (k, 6), (4, k)} not a function?

• 2

• 4

• 2, 4

• 2, 6

3. Which of the following statements represents a function?

• current age to students

• country to its capital

• mother to her children

• radius to its circumference

4. Which of the following letters will pass the vertical line test?

• W

• X

• Y

• Z

5.What is the domain of the square root function?

• all real numbers that is not equal to zero

• all real numbers greater than or equal to zero

• all real numbers greater than zero

• all real numbers

 $6.\ What\ kind\ of\ function\ is\ f\left(x\right)=x^3-1?$  

• Even Function

• Odd Function

• neither

 $If\ 𝑓(𝑥)=2𝑥^2+𝑥−3,\ find\ 𝑓\left(\frac{1}{2}\right).$  

• -1

• -2

•  $-\frac{3}{4}$  

•  $-\frac{5}{4}$  

 $If\ g\left(x\right)=\frac{1}{x},\ find\ \left(g\circ g\right)\left(5\right).$  

• 1

• 5

•  $\frac{1}{5}$  

•  $\frac{1}{25}$  

9.A computer shop charges P20.00 per hour (or a fraction of an hour) for the first two hours and an additional P10.00per hour for each succeeding hour. Find the how much you would pay if you used one of their computers for 150 minutes. 

•  $60\ pesos$ 

•  $50\ pesos$ 

•  $45\ pesos$ 

•  $30\ pesos$ 

10.Contaminated water is subjected to cleaning process. The concentration of pollutants is initially 10 mg per liter of water. If the cleaning process can reduce the pollutant by 5% each hour, define a function that can represent the concentration of pollutants in the water in terms of the number of hours that the cleaning process has taken place.

• $C\left(t\right)=10-0.95t$

• $C\left(t\right)=10\left(0.95t\right)$

• $C\left(t\right)=0.95t$

• $C\left(t\right)=10\left(0.95\right)^t$