Question 1

A gas contained in a 30 mL container at a temperature of 200 K has a pressure of 1,600 atm. If the temperature increases to 210 K, what is the resulting pressure?

Accepted Answer

The answer of A gas contained in a 30 mL...

Question 2

Determine if the relationship y =  , x > 0 is a function. If it is, determine if it is a one-to-one function.

Accepted Answer

The answer of Determine if the relationship y = ...

Question 3

Classify the following relationship as a function or not a function.{(4, 10), (18, -2), (12, 2), (4, 16)}

Accepted Answer

A)  a function 
B)  not a function 
C)  don't know

Question 4

The graph of y =  is reflected about the x-axis and shifted to the right 3 and up 7. Write the resulting function.

Accepted Answer

A)   
B)   
C)   
D)

Question 5

The function f (x) =  + 3, x ? 0 is a one-to-one function. Find its inverse.

Accepted Answer

A)  y = x + 3 
B)  y =  
C)  y =  
D)  y =

Question 6

The relationship, f (x) =  , is a function. Determine if it is a one-to-one function.

Accepted Answer

The answer of The relationship, f (x) =  ,...

Question 7

Hooke's Law in physics states that if a spring at rest (equilibrium position ) has a weight attached to it, then the distance the spring stretches is directly proportional to the force (weight).
F = kx
Where F is the force in Newtons(N), x is the distance stretched in meters (m), and k is the spring constant (N/m).A force of 352 N will stretch the spring 22 cm. How far will a force of 288 stretch the spring? Round to two decimal places.

Accepted Answer

A)  0.27 m 
B)  26.89 m 
C)  0.18 m 
D)  18.00 m

Question 8

Write an equation that describes the variation. Use k as the constant of variation.
P is directly proportional to both  and  .

Accepted Answer

A)   
B)   
C)   
D)

Question 9

State the domain and range for the given graph of the piece-wise function.

Accepted Answer

The answer of State the domain and range for the...

Question 10

Write an equation that describes the variation. Use k as the constant of variation.
A varies directly with both  and  .

Accepted Answer

The answer of Write an equation that describes the variation....

Question 11

Write an equation that describes the variation.
V varies directly with m and inversely with q. V = 130 when m = 35 and q = 25.

Accepted Answer

The answer of Write an equation that describes the variation.
V...

Question 12

Given the graph of the piece-wise function, (a) state the domain and range in interval notation and (b) determine the intervals when the function is increasing, decreasing, or constant.

Accepted Answer

The answer of Given the graph of the piece-wise function,...

Question 13

(a) Graph the piece-wise function. (b) State the domain and range in interval notation. (c) Determine the intervals when the function is increasing, decreasing, or constant.

Accepted Answer

The answer of (a) Graph the piece-wise function. (b) State...

Question 14

Given the functions f (x) = 8x + 1 and g(x) = 3x - 7, find (g ? f)(x).

Accepted Answer

A)  24x - 7 
B)  24x - 6 
C)  24x + 31 
D)  24x - 4

Question 15

The graph of y =   is contracted by a factor of 7. Write the resulting function.

Accepted Answer

A)   
B)   
C)   
D)

Question 16

For the given graph of a function f (x) draw the indicated function.
  
y = f (x - 3) - 2

Accepted Answer

The answer of For the given graph of a function...

Question 17

Determine if the function f (x) =  is even, odd, or neither even nor odd.

Accepted Answer

A)  even 
B)  odd 
C)  neither even nor odd

Question 18

For the given graph of a function f (x) draw the indicated function.

Y = f (x + 1) - 4

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 19

The function f (x) =  , x ?  is a one-to-one function. Find its inverse.

Accepted Answer

A)  y =  
B)  y =  
C)  y =  
D)  y =

Question 20

Given the functions f (x) = 8x - 1 and g(x) = 4x + 5, determine  .

Accepted Answer

The answer of Given the functions f (x) = 8x...

Exam 3: Functions and Their Graphs

A gas contained in a 30 mL container at a temperature of 200 K has a pressure of 1,600 atm. If the temperature increases to 210 K, what is the resulting pressure?

Determine if the relationship y = , x > 0 is a function. If it is, determine if it is a one-to-one function.

Classify the following relationship as a function or not a function.{(4, 10) , (18, -2) , (12, 2) , (4, 16) }

The graph of y = is reflected about the x-axis and shifted to the right 3 and up 7. Write the resulting function.

The function f (x) = + 3, x ? 0 is a one-to-one function. Find its inverse.

The relationship, f (x) = , is a function. Determine if it is a one-to-one function.

Write an equation that describes the variation. Use k as the constant of variation. P is directly proportional to both and .

State the domain and range for the given graph of the piece-wise function.

Write an equation that describes the variation. Use k as the constant of variation. A varies directly with both and .

Write an equation that describes the variation. V varies directly with m and inversely with q. V = 130 when m = 35 and q = 25.

Given the graph of the piece-wise function, (a) state the domain and range in interval notation and (b) determine the intervals when the function is increasing, decreasing, or constant.

(a) Graph the piece-wise function. (b) State the domain and range in interval notation. (c) Determine the intervals when the function is increasing, decreasing, or constant.

Given the functions f (x) = 8x + 1 and g(x) = 3x - 7, find (g ? f) (x) .

The graph of y = is contracted by a factor of 7. Write the resulting function.

For the given graph of a function f (x) draw the indicated function. y = f (x - 3) - 2

Determine if the function f (x) = is even, odd, or neither even nor odd.

For the given graph of a function f (x) draw the indicated function. Y = f (x + 1) - 4

The function f (x) = , x ? is a one-to-one function. Find its inverse.

Given the functions f (x) = 8x - 1 and g(x) = 4x + 5, determine .