Free Printable FOURTH PRELIM EXAM IN GENERAL MATHEMATICS

1.

$What\ is\ the\ x-inteecept\ of\ y\ =\ \frac{x\ +3}{x\ -\ 1}$

a)

0, 1

b)

0, -3

c)

-3, 0

d)

-3, 1

2.

What is the y-intercept of $f\left(x\right)\ =\ \frac{5x\ +\ 2}{4x\ -1}$

a)

0, 2

b)

-2/5, 0

c)

0, -2

d)

-2, 0

3.

What is the inverse of f(x) = 3x - 5

a)

$f^{-1}\left(x\right)\ =\frac{x\ +5}{3}$

b)

$f^{-1}\left(x\right)\ =\frac{x\ -5}{3}$

c)

$f^{-1}\left(x\right)\ =\frac{x\ -3}{5}$

d)

$f^{-1}\left(x\right)\ =3x\ -5$

4.

What is the inverse of $f\left(x\right)\ =\frac{5x\ +2}{6x\ -\ 3}$

a)

$f^{-1}\left(x\right)\ =\frac{3x\ +2}{6x\ -5}$

b)

$f^{-1}\left(x\right)\ =\frac{6x\ -5}{3x\ +2}$

c)

$f^{-1}\left(x\right)\ =\frac{3x\ -5}{x\ +2}$

d)

$f^{-1}\left(x\right)\ =\frac{3x\ -2}{6x\ +2}$

5.

What is the inverse of {(3,0), (5,2), (4,8), (1, 1)}?

a)

{(0,3), (2,5), (4,8), (1, 1)}

b)

{(0,3), (2,5), (8,4), (1, 1)}

c)

{(-3,0), (-5,2), (-4,8), (-1, 1)}

d)

{(3,0), (5,2), (4,8), (1, 1)}

6.

What is the missing INVERSE ordered pair of the table

with function 𝑓(𝑥) = 2𝑥 + 9 if x = 4?

a)

4, 13

b)

4, 15

c)

13, 4

d)

12, 4

7.

Given that f(x) = 3x - 2, what is the domain of its inverse?

a)

(-∞, +∞)

b)

(3, ∞)

c)

(0, ∞)

d)

(0, ∞)

8.

Given that f(x) = 3x - 2, what is the range of its inverse?

a)

all real numbers

b)

all real numbers greater than 3

c)

all real numbers except 2/3

d)

all real numbers greater than 0

9.

Solve for x in 81^3-x = (1/3)^5x-6

a)

3

b)

-4

c)

6

d)

-6

10.

What is x in 1/81 < 9^2x-4

a)

$x<\ 1$

b)

$x\ >1$

c)

$x\ >0$

d)

$x<0$

11.

The following is TRUE about exponential function f(x) = $b^x$ except ONE.

a)

b $>$ 0

b)

b $\ne$ 1

c)

b $>$ 1

12.

What is the correct answer?

a)

A

b)

B

c)

C

d)

D

13.

What is the value of x in $3^x\ =\ 3^2$

a)

0

b)

1

c)

2

d)

3

14.

What operation of function is used to verify to determine two functions are inverse with each other?

a)

addition

b)

subtraction

c)

multiplication

d)

composition

15.

What is the value of x given that $2^x\ =2^{2x-1\ }$

a)

2/3

b)

0

c)

3/2

d)

3

16.

In exponential function f(x) = $b^x$ , What is TRUE about base b?

a)

b $<$ 0

b)

b = 1

c)

b $>$ 0

d)

b $>$ 1

17.

Which of the following are the points of intersection of the graph and the axes?

a)

range

b)

intercept

c)

domain

d)

zeroes

18.

In which of the following does $y\ =\ 2^{3x+2}$ classified?

a)

A. Exponential Expression

b)

B. Exponential Equation

c)

C. Exponential Function

d)

D. Exponential Inequality

19.

What is the type of relation where every element in the domain is paired with exactly one element in the range?

a)

Function

b)

Asymptote

c)

Inverse

d)

Composite

20.

What is the set of all possible input values (x) which produce a valid output (y) from the function?

a)

dependent

b)

domain

c)

constant

d)

range

21.

Which of the following is NOT an exponential function?

a)

f(x) = $3^{5x+3}$

b)

f(x) = $x^2$

c)

y = $5^{3x}+1$

d)

y = $3\left(2\right)^{x-2}$

22.

What is the first step in finding the inverse of a function?

a)

Write the function in the form f(x) = y

b)

Cancel the x variable.

c)

Write the function in simplest form.

d)

Solve for x in terms of y.

23.

Ellis deposited ₱1,000.00 in a bank in Parañaque City that pays 5% compounded annually.

How much money will Ellis have after 2 years?

a)

A. ₱1,100.50

b)

B. ₱1,102.50

c)

C. ₱1,201.50

d)

D. ₱1,220.50

24.

$3^{x-4}=9^{3x+7}$ is an example of _________

a)

exponential function

b)

exponential inequality

c)

exponential equation

d)

exponential expression

25.

Which of the following is an exponential inequality?

a)

(0.04) ≤ 0.2x

b)

3 > 27x

c)

$30^x$ ≥ 900x

d)

64x < 26

26.

Consider the graph given. Which of the following line tests crosses the graph of a function at no more than one point? Line Test X Line Test Y

a)

Line Test X only

b)

Line Test Y only

c)

Both Line Test X and Y

d)

None of the following.

27.

Which of the following statements represents one-to-one function?

a)

One person has one passport.

b)

A car model is made by one company.

c)

A house building prototype belongs to one company.

d)

A shampoo to your hair.

28.

Given f(x) = $\frac{3x^2-1}{x^3+2}$ What is the horizontal asymptote?

a)

y = 0

b)

none

c)

y = -2

d)

y = 1/2

29.

Which of the given situations illustrate an exponential change?

a)

A. A store has 100 regular customers and each month 5 new customers come

b)

B. The number of organisms in a culture doubles every 5 hours

c)

C. The monthly wage of a laborer increases by 75 every year

d)

D. As x increases the value of y increases

30.

A flu is spreading through the population according to the function N= $3^t$ where t is the time in days and N is the number of people infected. How many people will be infected after 4 days?

a)

3

b)

12

c)

64

d)

81

31.

If the degree of the leading coefficient of the numerator is less than to the degree of the leading coefficient of the denominator of a rational function, which of the following statements has to be true?

a)

The graph has no asymptote.

b)

The graph of the function has slant asymptote.

c)

The graph of the function has a horizontal asymptote.

d)

None of the above.

32.

Which of the following relationships DOES NOT indicate a one-to-one function?

a)

A tricycle and its plate number.

b)

Chemical symbol to its chemical element.

c)

Parents and their children.

d)

Husband and Wife.

33.

The coffee shop menu shown in the table consists of items and their prices. Does the menu represent to one-to-one function?

a)

Yes, because some menu has the same price, so the price is a function with the menu.

b)

Yes, because one item on the menu has only one price, so the price is a function of the item.

c)

No, because the two items on the menu have the same price.

34.

Which of the following values of x will make the equation 8^x $8^{x\ }=16^{x-1}$ TRUE?

a)

A. 4

b)

B. 3

c)

C. 2

d)

D. 1

35.

Ellis deposited ₱1,000.00 in a banknat Parañaque City that pays 5% compounded annually.

What equation best describes this investment after t years?

a)

A= $1000(1.05)^t$

b)

$A=1000(1.05)^t$

c)

$A=1000(15)^t$

d)

$A=1000(1.005)^t$

36.

Consider the function f(x) = 2x + 5. Which of the following is the correct table of values for $f^{-1}\left(x\right)$ ?

a)

A.

b)

B.

c)

C.

d)

D.

37.

What is the vertical asymptote of $y\ =\ \frac{x\ +7}{x\ -\ 5}$

a)

x = 5

b)

x= -5

c)

x = 1

d)

x = -7

38.

Which of the following is the graph of one-to-one function?

a)

b)

c)

d)

39.

Given y = $\frac{3x\ -\ 5}{x\ +2}$ What is the horizontal asymptote?

a)

1

b)

3

c)

5/2

d)

-2

40.

Given y = $\frac{3x^{2\ }+1}{x\ -\ 5}$ what is the horizontal asymptote?

a)

y = 0

b)

none

c)

3

d)

5

FOURTH PRELIM EXAM IN GENERAL MATHEMATICS

Total questions: 40

Worksheet time: 1hrs 2mins

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