Remembering
What do you call a relation where each element in the domain is related to ONLY ONE value in the range by some rule?
Function
Which of the following is TRUE about relations and functions?
a. All relations are functions but not all functions are relations.
b. All functions are relations but not all relations are functions.
c. All relations are functions, but some functions are relations.
d. All functions are relations, and all relations are functions.
b. All functions are relations but not all relations are functions.
refer to the ff: functions:
f(x)=x+2 p(x)=x+7 v(x)=x2-9 g(x)= x – 3
What is equivalent to (f + p) (x)?
2x + 9
Do you agree that One-to-One Relation is a function?
A. Yes, because one-to-one relation satisfies the condition that it is a function if each input has exactly one output.
B. Yes, because one-to-one relation does not satisfy the condition that it is a function if each input has exactly one output.
C. No, because one-to-one relation satisfies the condition that it is a function if each input has exactly one output.
D. No, because one-to-one relation does not satisfy the condition that it is a function if each input has exactly one output.
A. Yes, because one-to-one relation satisfies the condition that it is a function if each input has exactly one output.
The total salary (s) a person is a function of the # of days that the person work(n), which of the following functions represents the situation if a person is earning P500.00 per day to do a certain job?
s(n)=500.00n
What do you call the process of determining the value of the function at the number assigned to a given variable?
A. Breaking Function
B. Evaluating Function
C. Making Function
D. Operating Function
Evaluating Function
What must be the value of g(x) so that (f - g) (x) = 3x when f(x)=4x?
x
The graph of a function that passes through the point (-3,4). What point must lie on the graph of the function's inverse?
What is (4,-3)
Do you agree that f(x) = 2x + 1 is not a rational function?
A. Yes, because f(x) = 2x + 1 is not in the form f(x) = p(x)/q(x) where p(x) and q(x) are polynomial functions, and q(x) is not the zero function (i.e., q(x) ≠ 0).
B. Yes, because f(x) = 2x + 1 is polynomial function.
C. No, because f(x) = 2x + 1 is in the form f(x) = p(x)/q(x) where p(x) and q(x) are polynomial functions, and q(x) is not the zero function (i.e., q(x) ≠ 0).
D. Yes, because f(x) = 2x + 1 is not a polynomial function
A. Yes, because f(x) = 2x + 1 is not in the form f(x) = p(x)/q(x) where p(x) and q(x) are polynomial functions, and q(x) is not the zero function (i.e., q(x) ≠ 0).
An object is to travel a distance of 10 meters. Which of the ff: equation represents velocity v as a function v (t) of travel time t, in seconds?
v (t) = 10/t
What do we call a function of the form f(x) = where p(x) and q(x) are polynomial functions, and q(x) is not the zero function (i.e., q(x) ≠ 0). The domain of f(x) is all values of x where q(x) ≠ 0?
A. exponential B. logarithmic
C. rational D. quadratic
Rational
Arrange the correct sequence in solving rational inequalities?
I. Locate the x-values for which the rational expression is zero or undefined.
II. Select a test point within the interior of each interval.
III. Summarize the intervals containing the solutions.
IV. Mark the numbers that makes the rational function zero and undefined
on a number line
V. Rewrite the inequality as a single rational expression on one side of
the inequality symbol and 0 on the other side.
V,I,IV,II,III
is the inverse of the function f(x)= 2x/2x+1
f-1(x)= x/2-x
Do you agree that f(x) = 2x + 1 has an inverse?
A. Yes, because f(x) = 2x + 1 is a linear function and is one-to-one function
B. Yes, because f(x) = 2x + 1 is a rational function and is one-to-one function
C. No, because f(x) = 2x + 1 is a linear function and is not one-to-one function
D. No, because f(x) = 2x + 1 is a rational function and is not one-to-one function
A. Yes, because f(x) = 2x + 1 is a linear function and is one-to-one function
Define composition of functions in symbol
(f o g) (x) = f(g(x))
Which of the following represent the graph of a rational function?
A. ellipse B. line
C. parabola D. smooth curve
Smooth Curve
How many vertical asymptotes does the graph of exponential function have?
0
What is/are the solution/s of 4x-1=16?
x = 3
Do you agree that f(x) = 1/x has an inverse?
A. Yes, because f(x) = 1/x is a linear function and is one-to-one function
B. Yes, because f(x) = 1/x is a rational function and is one-to-one function
C. No, because f(x) = 1/x is a linear function and is not one-to-one function
D. No, because f(x) = 1/x is a rational function and is not one-to-one function
B. Yes, because f(x) = 1/x is a rational function and is one-to-one function
Describe the graph of exponential and rational function.
smooth curve
What is the inverse of f-1 (x)?
f (x)
What is the horizontal asymptote of an exponential function of the form y = bx?
y = 0
What is the solution of the inequality 3x< 9x-2?
4<x
Do you agree that f (x) = 1x is an exponential function?
A. Yes, because the base is greater than 0.
B. Yes, because it has base and has exponent.
C. No, because the exponent is x.
D. No, because the base is equal to 1.
D. No, because the base is equal to 1.
If a principal P is invested at an annual rate of r, compounded annually, then the amount after t years is given by which of this formula?
A = P (1 + r)t