Question 1

Which of the following graphs is neither even nor odd?
A) 
B) 
C)

Accepted Answer

A function is even if it is symmetric about the y-axis and odd if it is symmetric about the origin. Option C does not have any clear symmetry and therefore cannot be classified as even or odd.

Question 2

Find the domain of the function.

Accepted Answer

The answer of Find the domain of the function. ...

Question 3

Refer to the graph of the function f in the following figure.  
a.Find f (1).
b.Find the value of x for which (i) f(x) = 1 and (ii) f(x) = 0. 
c.Find the domain and range of f.

Accepted Answer

The answer of Refer to the graph of the function...

Question 4

Determine whether f is even,odd,or neither.

Accepted Answer

The answer of Determine whether f is even,odd,or neither. ...

Question 5

If the point ( 7, 3 ) is on the graph of an even function,what other point must also be on the graph?
A) ( 7 , -3)
B) (0 , 0)
C) ( -7 , -3)
D) ( -7 , 3)
E) None of these

Accepted Answer

For an even function, if (x, y) is on the graph, then (-x, y) must also be on the graph. Since (7, 3) is on the graph, (-7, 3) must also be on the graph.

Question 6

Find the domain of the function.

Accepted Answer

The answer of Find the domain of the function. ...

Question 7

The graphs of f(x) and g(x) are given. Find the values of f (-4) and g (3).

Accepted Answer

The answer of The graphs of f(x) and g(x) are...

Question 8

Determine whether the function is even,odd,or neither.

Accepted Answer

The answer of Determine whether the function is even,odd,or neither....

Question 9

An open rectangular box with volume   has a square base.Express the surface area of the box as a function  of the length  x of a side of the base.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of An open rectangular box with volume ...

Question 10

Determine whether the function whose graph is given is even,odd,or neither. 
A) Even
B) Neither
C) Odd

Accepted Answer

The graph appears to have symmetry about the y-axis, which is the definition of an even function. If we substitute -x for x in the function, we get the same function back. Therefore, the function is even.

Question 11

If f (x)=  find f (-4) , f (0), and f (1).

Accepted Answer

The answer of If f (x)=  find f (-4)...

Quiz 1: Functions and Limits

Which of the following graphs is neither even nor odd?

Find the domain of the function.

Refer to the graph of the function f in the following figure. a.Find f (1). b.Find the value of x for which (i) f(x) = 1 and (ii) f(x) = 0. c.Find the domain and range of f.

Determine whether f is even,odd,or neither.

If the point ( 7, 3 ) is on the graph of an even function,what other point must also be on the graph?

Find the domain of the function.

The graphs of f(x) and g(x) are given. Find the values of f (-4) and g (3).

Determine whether the function is even,odd,or neither.

An open rectangular box with volume has a square base.Express the surface area of the box as a function of the length x of a side of the base.

Determine whether the function whose graph is given is even,odd,or neither.

If f (x)= find f (-4) , f (0), and f (1).