The flashcards below were created by user
Mossy
on FreezingBlue Flashcards.

Determine whether the graph is that of a function by using the verticalline test. If it is, use the graph to find
(a) its domain and range
(b) the intercepts, if any
(c) any symmetry with respect to the xaxis, yaxis, or the origin.
 Is the graph that of a function?
 No
 (a)What is the domain and range of the function?
 The graph is not that of a function
 (b)What are the intercepts of the function?
 The graph is not that of a function.
 (c)If the graph is that of a function, determine what kinds of symmetry it has. Select all that apply.
 The graph is not that of a function.

The Domain is
(interval notation)

Decide whether the statement is true of false. The Domain of the function f(x)= is .
 False
 this is false because the x in the denominator can never be equal to zero. (division by zero is undefined)

Determine whether the following relation represents a function. If it is a function, state the domain and range.
{(2,8), (1,7), (5,5), (7,7)}
 Does the given relation represent af function?
 Yes
 What is the domain?
 {2,1,5,7}
 What ist he range?
 {8,7,5,7)

Determine whether the graph below is that of a function by using the verticalline test. If it is, use the graph to find
(a) its domain and range.
(b) the intercepts, if any.
(c) any symmetry with respect to the xaxis, yaxis, or the origin.
 Is the graph that of a function?
 Yes
 (a)If the graph is that of a function, what are the domain and range of the function?
 The domain is . The range is .
 (b)What are the intercepts?
 (6,0), (6,0), (0,6)
 (c)Determine if the graph is symmetrical.
 It is symmetrical with respect to the yaxis.

Answer the questions about the given function. f(x)=
(a) Is the point (4, ) on the graph of f?
(b) If x=3, what is f(x)? What point is on the graph of f?
(c) If f(x)=2, what is x? What point(s) are on the graph of f?
(d) What is the domain of f?
(e) List the xintercept(s), if any, of the graph of f.
(f) List the yintercept, if any, of the graph of f.
(g) What are the zeros of f?
 (a) No
 (b) 14, (3,14)
 (c) x=15, (15,2)
 (d)
 (e) The xinterecept(s) is/are 11
 (f) The yintercept(s) is/are 
 (g) The zero(s) is/are 11

f(x)=9x+6
The domain is

Decide whether the following statement is true or false.
Every relation is a function.
False

Determine whether the equation defines y as a function of x.
y=
Yes


Determine whether the equation defines y as a function of x.
4x^{2}+5y^{2}=1
No

For the function f defined by f(x) , find the following values.
 (a) f(4)=
 (b) f(x)=
 (c) f(x)=
 (d) f(x+h)=

Determine whether the following relation represents a function.
{(4,2), (6,7), (9,1), (4,1)}
 No
  the xvalues 4 appear on more than one point.

f(x) = x11; g(x) = 2x^{2}
(a) (f+g)(3) = 10
 What is the domain of f+g?
 {xx is any real number)
(b) (f*g)(2) = 72
 What is the domain of f*g?
 {xx is any real number)


