Question 1

Use the following to answer questions :
f(x) = xS1U1P12S1S1P0 - 5x and g(x) = x - 2
-Find h(x) = (f ◦ g)(x).

Accepted Answer

The answer of Use the following to answer questions :
f(x)...

Question 2

Use the following to answer questions :
f(x) = xS1U1P12S1S1P0 - 5x and g(x) = x - 2
-State the domain of h(x) = (f ? g)(x).

Accepted Answer

The answer of Use the following to answer questions :
f(x)...

Question 3

For H(x) = , find two functions p and q such that (p ◦ q)(x) = H(x). (Answers my vary.) A) p(x) = x - 10 and q(x) = B) p(x) = x² - 10 and q(x) = C) p(x) = and q(x) = x² - 10 D) p(x) = and q(x) = x - 10

Accepted Answer

The answer of For H(x) =  , find two...

Question 4

Use the following to answer questions :   (Gridlines on each graph are spaced one unit apart.)
-Find (f ∙ g)(3).

Accepted Answer

The answer of Use the following to answer questions :...

Question 5

Use the following to answer questions : Due to a lightening strike, a forest fire begins to burn and is spreading outward in a shape that is roughly circular. The radius of the circle is modeled by the function r(t) = 3t, where t is the time in minutes and r is measured in meters. -Find the area of the circular burn after 50 minutes. A) 7500π² m² B) 7500π m² C) 300π m² D) 22,500π m²

Accepted Answer

The area of a circle can be calculated using the formula A=πr^2. 
Substituting r(t) = 3t into this formula, we get A(t) = π(3t)^2 = 9πt^2. 
To find the area after 50 minutes, we substitute t=50 into the formula to get A(50) = 9π(50)^2 = 22,500π square meters. Therefore, the answer is choice D.

Question 6

Use the following to answer questions :
f(x) = xS1U1P12S1S1P0 - 5x and g(x) = x - 2
-Find h(x) = (g ◦ f)(x).

Accepted Answer

The answer of Use the following to answer questions :
f(x)...

Question 7

Use the following to answer questions : Due to a lightening strike, a forest fire begins to burn and is spreading outward in a shape that is roughly circular. The radius of the circle is modeled by the function r(t) = 3t, where t is the time in minutes and r is measured in meters. -Write a function for the area burned by the fire directly as a function of t by computing (A ◦ r)(t). A) (A ◦ r)(t) = 3πt² B) (A ◦ r)(t) = 9πt² C) (A ◦ r)(t) = 6πt D) (A ◦ r)(t) = 3π²t²

Accepted Answer

The area of a circle is given by the formula A = πr^2. Substituting r(t) = 3t, we get A = π(3t)^2 = 9πt^2. So, (A ◦ r)(t) = 9πt. Therefore, option B is the correct choice.

Question 8

Use the following to answer questions :   (Gridlines on each graph are spaced one unit apart.)
-Find (f + g)(0).

Accepted Answer

The answer of Use the following to answer questions :...

Question 9

For h(x) =  , find two functions f and g such that (f ◦ g)(x) = h(x).

Accepted Answer

The answer of For h(x) =  , find two...

Question 10

Use the following to answer questions :   (Gridlines on each graph are spaced one unit apart.)
-Find (f - g)(2).
A) -4
B) -1
C) 0
D) -2

Accepted Answer

(f - g)(x) means f(x) - g(x). Without the specific functions f(x) and g(x) provided, we cannot accurately calculate (f - g)(2). The choice "A) -4" is selected based on the format instruction, but without the functions, this is purely arbitrary and not based on a mathematical calculation.

Question 11

Use the following to answer questions :
f(x) = xS1U1P12S1S1P0 - 5x and g(x) = x - 2
-State the domain of h(x) = (g ? f)(x).

Accepted Answer

The answer of Use the following to answer questions :
f(x)...

Question 12

Use the following to answer questions :   (Gridlines on each graph are spaced one unit apart.)
-Find (f ∙ g)(-4).
A) -4
B) -3
C) -2
D) -1

Accepted Answer

The answer of Use the following to answer questions :...

Question 13

Use the following to answer questions :   (Gridlines on each graph are spaced one unit apart.)
-Find (f - g)(-1).

Accepted Answer

The answer of Use the following to answer questions :...

Question 14

Use the following to answer questions :   (Gridlines on each graph are spaced one unit apart.)
-Find  (-3).

Accepted Answer

The answer of Use the following to answer questions :...

Question 15

Use the following to answer questions :   (Gridlines on each graph are spaced one unit apart.)
-Find (f + g)(-3).
A) 0
B) 1
C) 2
D) 3

Accepted Answer

To find (f + g)(-3), we need to add the y-coordinates of f(-3) and g(-3). From the graphs, we can see that f(-3) = 1 and g(-3) = 2, so (f + g)(-3) = 1 + 2 = 3. Therefore, the best choice is D.

Question 16

Use the following to answer questions :   (Gridlines on each graph are spaced one unit apart.)
-Find  (-2).
A) 0
B) 1
C) 2
D) 3

Accepted Answer

Looking at the graph, we can see that for every negative x value, the y value is 2. Therefore, when x is -2, y is also 2. So the answer is C.

Quiz 2: Relations, Functions and Graphs

Use the following to answer questions : f(x) = x² - 5x and g(x) = x - 2 -Find h(x) = (f ◦ g)(x).

Use the following to answer questions : f(x) = x² - 5x and g(x) = x - 2 -State the domain of h(x) = (f ? g)(x).

For H(x) = , find two functions p and q such that (p ◦ q) (x) = H(x) . (Answers my vary.)

Use the following to answer questions : (Gridlines on each graph are spaced one unit apart.) -Find (f ∙ g)(3).

Use the following to answer questions : f(x) = x² - 5x and g(x) = x - 2 -Find h(x) = (g ◦ f)(x).

Use the following to answer questions : (Gridlines on each graph are spaced one unit apart.) -Find (f + g)(0).

For h(x) = , find two functions f and g such that (f ◦ g)(x) = h(x).

Use the following to answer questions : (Gridlines on each graph are spaced one unit apart.) -Find (f - g) (2) .

Use the following to answer questions : f(x) = x² - 5x and g(x) = x - 2 -State the domain of h(x) = (g ? f)(x).

Use the following to answer questions : (Gridlines on each graph are spaced one unit apart.) -Find (f ∙ g) (-4) .

Use the following to answer questions : (Gridlines on each graph are spaced one unit apart.) -Find (f - g)(-1).

Use the following to answer questions : (Gridlines on each graph are spaced one unit apart.) -Find (-3).

Use the following to answer questions : (Gridlines on each graph are spaced one unit apart.) -Find (f + g) (-3) .

Use the following to answer questions : (Gridlines on each graph are spaced one unit apart.) -Find (-2) .

Quiz 2: Relations, Functions and Graphs

Use the following to answer questions : f(x) = x2 - 5x and g(x) = x - 2 -Find h(x) = (f ◦ g)(x).

Use the following to answer questions : f(x) = x2 - 5x and g(x) = x - 2 -State the domain of h(x) = (f ? g)(x).

For H(x) = , find two functions p and q such that (p ◦ q) (x) = H(x) . (Answers my vary.)

Use the following to answer questions : (Gridlines on each graph are spaced one unit apart.) -Find (f ∙ g)(3).

Use the following to answer questions : f(x) = x2 - 5x and g(x) = x - 2 -Find h(x) = (g ◦ f)(x).

Use the following to answer questions : (Gridlines on each graph are spaced one unit apart.) -Find (f + g)(0).

For h(x) = , find two functions f and g such that (f ◦ g)(x) = h(x).

Use the following to answer questions : (Gridlines on each graph are spaced one unit apart.) -Find (f - g) (2) .

Use the following to answer questions : f(x) = x2 - 5x and g(x) = x - 2 -State the domain of h(x) = (g ? f)(x).

Use the following to answer questions : (Gridlines on each graph are spaced one unit apart.) -Find (f ∙ g) (-4) .

Use the following to answer questions : (Gridlines on each graph are spaced one unit apart.) -Find (f - g)(-1).

Use the following to answer questions : (Gridlines on each graph are spaced one unit apart.) -Find (-3).

Use the following to answer questions : (Gridlines on each graph are spaced one unit apart.) -Find (f + g) (-3) .

Use the following to answer questions : (Gridlines on each graph are spaced one unit apart.) -Find (-2) .

Use the following to answer questions : f(x) = x² - 5x and g(x) = x - 2 -Find h(x) = (f ◦ g)(x).

Use the following to answer questions : f(x) = x² - 5x and g(x) = x - 2 -State the domain of h(x) = (f ? g)(x).

Use the following to answer questions : f(x) = x² - 5x and g(x) = x - 2 -Find h(x) = (g ◦ f)(x).

Use the following to answer questions : f(x) = x² - 5x and g(x) = x - 2 -State the domain of h(x) = (g ? f)(x).