Gen Math Midterm Exam.docx 5e2136

Republic of the Philippines Department of Education Region VIII Division of Calbayog City CALBAYOG CITY NATIONAL HIGH SCHOOL Calbayog City

MIDTERM EXAMINATION In

GENERAL MATHEMATICS Name: _______________________ Grade:___ Section:_______ Date:_________ Score:______ Rating:____ % Test I. MULTIPLE CHOICE. Select the corresponding letter of your best answer. Provide solutions. 1. A rule that relates values from a set of values (called the domain) to a second set of values (called the range). a. Relation b. Function c. Correlation d. none of these 2. A relation where each element in the domain is related to only one value in the range by some rule. a. Relation b. Function c. Cofunction d. none of these 3. A graph represents a function if and only if each vertical line ____the graph at most once. a. intersects b. by c. touches d. none of these 4. The _____ of a relation is the set of all possible values that the variable x can take. a. range b. value c. domain d. none of these 5. The sum of 1/3 and 2/5 is _____. a. 15/11 b. 11/5

c. 2/15

d. none of these

6. The product of 10/21 and 15/8 is _____. a. 395/168 b. 168/395

c. 26/27

d. none of these

7. An expression that can be described as a function where either the numerator or denominator have a variable on it. a. rational expression b. inverse expression c. algebraic expression d. none of these 8. The _____ of a function are the values of x which make the function zero. a. asymptote b. intercept c. zeroes none of these 9. The graph of the inverse of a one-to-one function can be obtained by reflecting the graph about the line _____. a. y=2x b. y=x c. 2y=x d. none of these 10. If the x- and y-values of a one-to-one function are interchanged, the result is a _______. a. relation b. function c. correlation d. none of these 11. If the x- and y-values of a function that is not one-to-one are inverted, the result is _______. a. Relation b. no longer a function c. function d. none of these 12.Some of the applications in real-life of exponential functions are (1) population growth (2) exponential decay, (3) interest, (4) carbon dating and (5) growth of an epidemic. a. Only 1,2,3 and 4 are true b. Only 1,3 and 5 are true c. All are real life application d. None of these are true 13. One strategy to solve exponential functions is to write both sides of the equation as powers of ____. a. different base b. the same base c. the same power d. none of these 14. One of the property of exponential functions is that the range is the set ______. a. (0,+ ∞ ) b. (0,- ∞ ) c. (+ ∞ , 0 ) d. none of these

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15. ____ of the logarithmic and exponential forms, b is the base. a. Only in exponential b. Only in logarithmic c. In both 16. Logarithms with base e are called ______. a. common logarithms b. natural logarithms 17. One of the value for v of the following expression a. 2/15

c. common and natural logarithm

5 5 4 + = v v+10 3

b. -2/15

d. none of these

is:

c. -15/2

d. 15/2

c. -2,-1

d. -1,-2

x−2 18. The intercepts of f(x)= x+2 are : a. 2,1

b. 2,-1

19. “Find all x values which do not make the denominator 0”, this is a rule to find the: a. y-intercept b. x-intercept c. range

d. domain

20. “Find the values of x where the numerator is zero but the denominator is non-zero”, is a rule to find the: a. y-intercept b. x-intercept c. range d. domain 21. “Use the degree of the polynomial in the numerator and the denominator”, this is a rule to find the: a. horizontal asymptote b. vertical asymptote c. range d. domain 22. Given: f(x)=

√x

a.

23. Given: f(x)=

√ x−3 , what is the value of f(x-3)? b. √ x+6

c.

√ x−6

d.

√ x+3

1

√ x−3 , what is the value of f( 1−x )?

3 x−2 a. −1−x

b.

2 x−3 x−1

c.

3 x−2 x−1

d.

3 x−2 1−x

24. Solve for x:

2 3 1 − = . x 2x 5

a. 5/2 25. 4

2 x+7

b. 2/5 2 x−3

≤ 32

c. 5.2

d. 2.5

c. 29/6,+∞

d. 6/29,∞

c. exponential equality

d. none of these

c. -2

d. 4

c. exponential

d. neither of these

. Solve for x (solution set).

a. 6/29,+∞

b. 29/6,-∞ 3

26. The function f(x) = 2 x is an example of : a. exponential function b. exponential equation 27. The logarithmic expression log 0.25 16 is equal to: a. 2

b. ¼

2 28. The function, f(x)=a x + bx+ c , where a ≠ 0 is:

a. linear

b. quadratic

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29. The function, f(x)=ax+b, where a ≠ 0 is: a. linear b. quadratic

c. exponential

d. neither of these

b. quadratic

c. exponential

d. neither of these

31. The function, f(x) = p(x)/q(x) is: a. polynomial b. quadratic

c. exponential

d. neither of these

c. exponential

d. neither of these

x−c 30. The function, f(x) = a· b + d

a. linear

is:

n 32. The function, f(x) = an x +… …+a 1 x + a0 is:

a. polynomial

b. quadratic

t 33. The form, A = P (1+r ) is called:

a. logarithmic

b. exponential

c. compound interest

d. piece-wise

c. compound interest

d. piece-wise

c. compound interest

d. piece-wise

c. compound interest

d. piece-wise

c

34. The form, e =a is called: a. logarithmic

b. exponential

35. The form, ln b a =c is called: a. logarithmic

b. exponential

36. The form , log b a =c is called: a. logarithmic 37. The form,

b. exponential

f(x)= 8 8+1.5d

a. logarithmic

if 0 <4 is an example of: if d>4

b. exponential

c. compound interest

d. piece-wise

c. compound interest

d. piece-wise

t

38. This model , y = y 0 (2)T is called: a. logarithmic

b. exponential

39. The zeroes of a function are the values of x which make the function zero. a. true b. false c. it depends

d. either of these

40. A graph is not a function if and only if each horizontal line intersects the graph at most once. a. true b. false c. it depends d. either of these Test III. PROBLEM SOLVING. Solve the following problems using the rule of operations. 41-44. You take out a PhP 20,000 loan at a 5% interest rate. If the interest is compounded annually, (a) give an exponential model for the situation, and (b) how much will you owe after 10 years? 45-48. Suppose your barangay starts with 1000 individuals and triples every 80 years. (a) Give an exponential model for the situation. (b) What is the size of the population after 100 years? 49-50. Graph the following function and its inverse. Function Points: ( - 2 , - 4 ), ( 0 , 1 ), ( 2 , 6 )

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