General Mathematics Q1

Which of the following defines the sum of f + h given that f and h are functions? A. (𝑓 + h)(𝑥) = 𝑓(𝑥) + h(𝑥) B. (𝑓 + h)(𝑥) = 𝑓(𝑥)- h(𝑥) C. (𝑓 + h)(𝑥) = 𝑓(𝑥) • h(𝑥) D. (𝑓 + h)(𝑥) = 𝑓(h(𝑥))

(𝑓 + h)(𝑥) = 𝑓(𝑥) + h(𝑥)

If 𝑝(𝑥) = 𝑥2+ 1, find 𝑝(−2). A. -3 B. -1 C. 1 D. 3

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Theperimeterofarectangleis28cm.Whichofthefollowingexpressthearea of the rectangle in terms of the width x? A. 28𝑥 − 𝑥² B. 18𝑥 − 𝑥² C. 14𝑥 − 𝑥² D. 7𝑥 − 𝑥²

14𝑥 − 𝑥²

The distance measured on a map, varies directly with the actual distance. If 1 cm represents 25 km, how many kilometers are represented by 7 cm? A. 172 km B. 173 km C. 174 km D. 175 km

175 km

Given 𝑓(𝑥) = 2𝑥 and 𝑔(𝑥) = 𝑥 + 5, find (𝑓 ◦ 𝑔)(𝑥). A. 2𝑥 + 5 B. 2𝑥 + 10 C. 𝑥 + 5 D. 𝑥 + 10

2𝑥 + 10

Find (𝑓/g)(𝑥) = ________. 𝑓(𝑥) = 3𝑥 - 5 and 𝑔(𝑥) = 𝑥² A. x²/3𝑥−5 B. 3x-5/x² C. -2/x D. 2𝑥 - 5

3x-5/x²

Giventherelation𝐴={(5,2,(7,4),(9,10),(𝑥,5)}.Whichofthefollowingvaluesfor x will make relation a function? A. 7 B. 9 C. 4 D. 5

4

Find two real numbers whose sum is 8 and whose product is 16. A. 4,4 B. 5,3 C. 8,8 D. 6,2

4,4

Find the three consecutive odd integers such that their sum is 237. A. 76, 78, 80 B. 77, 79, 81 C. 78, 80, 81 D. 79, 81, 83

77, 79, 81

Which of the following diagram represents a relation that is not a function? A. One-to-one B. One-to-many C. Many-to-one D. None of the above

One-to-many

Lae bought 5 oranges and 6 apples for Php 120.00 only. How much is each avocado if one orange costs Php 12.00? A. Php 10.00 B. Php 15.00 C. Php 20.00 D. Php 25.00

Php 10.00

Which of the following statements represents a function? A. Students of their current age? B. Countries to its capital C. A store to its merchandise D. Teacher and student's relationship

Students of their current age

To evaluate a function is to ______________ the variable in the function with a value from the function's domain and compute the result. A. omit B. simplify C. skip D. substitute

Substitute

A method of determining whether or not a graph represents a function is called the ___________________. A. Diagonal Line test B. Horizontal Line Test C. Zigzag Line Test D. Vertical Line Test

Vertical Line Test

The process of obtaining a composite function is called ____________________. A. composting function B. compositing function C. decomposition function D. function composition

function composition

Given the piecewise function 𝑓(𝑥) = 4−𝑥, 𝑥<3 = 𝑥 + 7, 3 ≤ 𝑥 < 11 = |𝑥−4|, 𝑥≥11 . Find 𝑓(9). A. ± 4 B. ± 3 C. ± 2 D. ± 1

± 4

The wage of the certain job is thirty pesos per hour. Try to find the wages equivalent to the first 5 hours. Let x be represents the number of working hours, and f(x) as the total amount earned. Write the function that shows the relationship. A. 𝑓(𝑥) = 30 + 𝑥 B. 𝑓(𝑥) = 30 + 5𝑥 C. 𝑓(𝑥) = 30𝑥 D. 𝑓(𝑥) = 5𝑥

𝑓(𝑥) = 30𝑥

Which of the following yields the same result when (𝑔 ◦ 𝑔)(𝑥) is performed? A. 𝑔 • 𝑔 B. 𝑓 • 𝑔 C. 𝑔 • 𝑓 D. 𝑓 • 𝑓

𝑔 • 𝑔