# Math 112 1.1 and 1.2 Quiz

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

1. Determine whether the graph is that of a function by using the vertical-line 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 x-axis, y-axis, 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.

2. The Domain is

(interval notation)
3. 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)
4. 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)

5. Determine whether the graph below is that of a function by using the vertical-line 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 x-axis, y-axis, 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 y-axis.

(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 x-intercept(s), if any, of the graph of f.
(f) List the y-intercept, 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 x-interecept(s) is/are -11
• (f)  The y-intercept(s) is/are -
• (g) The zero(s) is/are -11
7. f(x)=-9x+6
The domain is
8. Decide whether the following statement is true or false.
Every relation is a function.
False
9. Determine whether the equation defines y as a function of x.

y=
Yes
10. Determine whether the graph below is that of a function by using the vertical-line test. If it is, use the graph to find
(a) domain and range
(b) the intercepts, if any.
(c) any symmetry with respect to the x-axis, y-axis, or the origin.
• Is the graph that of a function?
• Yes
• (a)Domain is
• Range is
• (b)What are the intercepts?
• (c) It is symmetrical with respect to the origin
11. Determine whether the equation defines y as a function of x.

4x2+5y2=1
No
12. 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)=
13. Determine whether the following relation represents a function.

{(4,-2), (6,-7), (-9,1), (4,1)}
• No
• - the x-values 4 appear on more than one point.
14. f(x) = x-11; g(x) = 2x2
(a) (f+g)(3) = 10

• What is the domain of f+g?
• {x|x is any real number)

(b) (f*g)(2) = -72

• What is the domain of f*g?
• {x|x is any real number)
15. For f(x)= and g(x)=, find (a) (f+g)(x) and (b)(x). Also, find the domain of each.
(a) (f+g)(x)=

domain is

(b) (f*g)(x)=

domain is
 Author: Mossy ID: 218612 Card Set: Math 112 1.1 and 1.2 Quiz Updated: 2013-05-08 23:35:25 Tags: Folders: Description: Chapter 1: Functions and Their Graphs 1.1 - Functions 1.2 - The Graph of a Function Show Answers: