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問題一覧
1
Which of the following defines an exponential function?
f(x) = 3 ^ x
2
If the distance from Manila to Batangas is approximately 109 kilometers, which of the following pertains to the function (s), where s is the speed of travel that describes the time it takes to drive from Manila to Batangas?
s(t) = 109/t
3
Which of the following is not allowed as the value of the independent variable under the square root sign?
zero
4
In the exponential function f(x) = b ^ x b is called as the
base
5
What do you call to the resulting y-values after we have substituted in the possible x - values?
Domain
6
Evaluate the statement " p(x) - q(x) the same as q(x) -p(x)^ prime prime , p(x) ne q(x) if it is
never true
7
What should be considered in solving an exponential equation with base b and exponents x_{1} and x_{2} :
if b ^ x_{1} = b^ x 2 x then x_{1} = x_{2}
8
Create the mapping diagram represents a relation from the following ordered pairs that is F=\ (1, 4), (2, 5) ,(3,6\ \
option 1
9
Which of the following represents a one-to-one function?
Student to their LRN
10
The following are examples of exponential function except one
f(x) = (3/(x - 1)) ^ 2
11
When the denominator of a rational function is greater than the numerator, The horizontal asymptote is at y = a_{n}/\mathfrak{a}_{d} the statement is
Never true
12
Which of the following is an application of exponential function?
radioactive decay
13
What is the horizontal asymptote of f(x) = (3x + 1)/(x - 5)
y = 3
14
For items 20-21: Refer to the rational equation below To solve the equation, we multiply both sides by
(x - 2)(x + 3)
15
Which of the following will be the solution on the given rational equation?
11/3
16
Due to the Enhanced Community Quarantine, Toy's for Her and Him temporarily stopped its operation and to help the employees the owner decided to split evenly its total revenue of P45, 000.00If the number of employees is represented by x, which function represents the amount each received?
f(x) = 45000/x
17
What is true about 1000= 100 ^ x ?
It is an exponential equation whose x-value can be solved.
18
The following are the behaviors of a graph of a one-to-one function and its inverse function, EXCEPT.
Parabola
19
f(x) = 4x + 2 and g(x) = 3x1, find (f-g)(4).
7
20
Which of the following best leads to the value of the unknown in 2 ^ (5x) =64?
2 ^ (5x) = 2 ^ 6
21
t(x) = x² + 7x+1 and r(x) = 5x2-2x+8, find (tr)(2).
-13
22
In writing the domain/range of a rational function, the format (-00, 1) U (1,00) is called a/an
interval notation
23
If g(x) = x - 4 and f(x) = x + 5 Find f(x) * g(x)
x ^ 2 + x - 20
24
A study found that the relationship between the number of hours (x) and the student's exam scores f(x) is given by the equation of function f(x) = 10x + 55 Using this information, what will be the estimated number of scores of the student if he spent 4 hours in studying?
95
25
Which of the following is an exponential function?
j(x) = 11^x
26
Given the functions: f(x) = x + 5 g(x) = 2x - 1 Determine the following Function (f + g)(x)
3x + 4
27
Find the value of the function defined by f(x) = 3x - 6 if x = 3
3
28
A graph represents a function if and only if each vertical line intersects the graph at most once is called ?
cartesian line test
29
Due to Typhoon Rosing the bus slows down the regular trip rate which results to additional 2 hours in covering a 140-km distance to its regular time. Write a function that expresses the time t as a function of regular rate r in travelling.
t(r) = (140)/r
30
Which of the following table represents the equation y= 2x ?
option 3
31
Find h(3) + d(2) if h(x) = x - 1 and d(x) = 7x + 3
19
32
What is the inverse of f(x)= x/25 ?
f(x) = 25x
33
Which of the following defines an exponential function?
f(x) = 3 ^ x
34
What is a function in which more than one formula is used to define the output. Each formula has its own domain, and the domain of the function is the union of all these smaller domains?
piecewise
35
The composite function denoted by (f deg * g)(x) = f(g(x)) The process of obtaining a composite function is called
function composition
36
What is the y - intercept of f(x)= (x ^ 2 - 3x)/(x + 3) ?
y=0
37
It t is a a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output?
function
38
Which of the following is the graph of f(x) = x/(x + 1) * Z
option 2
39
Which of the following is a function?
(-2,1), (2, - 1) ,( 1,-1)
40
In a set of ordered pairs (-5,-4), (-5,1), (-2,3), (2,1), (2,-4), the domain D =
(-5,-2,2)
41
The following are notations for composite functions EXCEPT?
f(x)g(x)
42
Evaluate the following functions F(x) = 2x + 1 where x = 1.5
4
43
How will you classify y= (x ^ 2 - 16)/(x + 4) ?
Rational Function
44
Gov. Suarez bought 1000 units of television to be given to disabled persons in Quezon province. If the province has chosen disabled persons, write the function which represents X_{r} the relationship of the allotted unit of television per disabled person(y-variable) versus the total number of disabled persons.
y = 1000/x
45
Emmanuel decided to put up a candy shop that sells a dairy chocolate that cost $135.00 per pack. The cost of making the chocolate is 990.00 and the operating expense is 4,500.00.
P(x)= 45x - 4 ,500