Functions Questions

Use the leading coefficient test to determine the end behavior of the graph of the function.
ƒ(x) = 2x⁵ + 4x³ + 7x² +5
○ Up to the left and down to the right
○Up to the left and up to the right
○Down to the left and down to the right
○Down to the lef

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Functions Solutions

Use the leading coefficient test to determine the end behavior of the graph of the function. ƒ(x) = 2x⁵ + 4x³ + 7x² +5 ○ Up to the left and down to the right ○Up to the left and up to the right ○Down to the left and down to the right ○Down to the left and up to the right

The function below gives the cost in dollars to manufacture x items:
C (x) = 10,000 + 5x-x^2/10,000
Find the average cost per item over the interval [1,000, 1,010].

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Functions Solutions

The function below gives the cost in dollars to manufacture x items: C (x) = 10,000 + 5x-x^2/10,000 Find the average cost per item over the interval [1,000, 1,010].

(a) If N is the population of the colony and t is the time in days, express N as a function of t. Consider N₀ is the original amount at t= 0 and k≠0 is a constant that represents the growth rate.
N(t) = □
(Type an expression using t as the variable a

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Functions Solutions

(a) If N is the population of the colony and t is the time in days, express N as a function of t. Consider N₀ is the original amount at t= 0 and k≠0 is a constant that represents the growth rate. N(t) = □ (Type an expression using t as the variable and in terms of e.)

Let f(x) =– 4x² +5/1 +x²
The graph of f is given below. Use the graph of f to determine the given limits. Enter DNE if a limit fails to exist, except in case of an infinite limit. If an infinite limit exists, enter ∞, or -∞, as appropriate.

lim f

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Functions Solutions

Let f(x) =– 4x² +5/1 +x² The graph of f is given below. Use the graph of f to determine the given limits. Enter DNE if a limit fails to exist, except in case of an infinite limit. If an infinite limit exists, enter ∞, or -∞, as appropriate. lim f(x)=________ x->-∞ lim f(x)=________ x->∞

If f(x) = -4|3x - 2| and g(x) = -20, solve the following.
(a) f(x) = g(x)
(b) f(x) >g(x)
(c) f(x) = g(x)
(a) Solve f(x) = g(x). Select the correct choice below and, if necessary, fill in the answer box to complete your answer.
O A. The solution set i

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Functions Solutions

If f(x) = -4|3x - 2| and g(x) = -20, solve the following. (a) f(x) = g(x) (b) f(x) >g(x) (c) f(x) = g(x) (a) Solve f(x) = g(x). Select the correct choice below and, if necessary, fill in the answer box to complete your answer. O A. The solution set is {□ }. (Simplify your answer. Use a comma to separate answers as needed.) O B. The solution set is {x| □} . (Simplify your answer. Type a compound inequality.) O C. The solution set is {x|x≤□ or x≥□}. (Simplify your answer. Type inequalities.) O D. The solution set is the empty set.

Use a graphing calculator to solve the nonlinear system.
y =e^(X+1)
X+y =1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A). The solution set is (Type an ordered pair. Use a comma to separate answ

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Functions Solutions

Use a graphing calculator to solve the nonlinear system. y =e^(X+1) X+y =1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A). The solution set is (Type an ordered pair. Use a comma to separate answers as needed. Type an integer or decimal rounded to the nearest hundred) B). There are infinitely many solutions. C). There is no solution.

Lillian is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. Let C represent the total cost, in dollars, of producing p phones

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Functions Solutions

Lillian is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. Let C represent the total cost, in dollars, of producing p phones in a given day. The table below has select values showing the linear relationship between p and C. Determine the fixed cost for rent and equipment. p C 2 1200 4 1600 6 2000

$Find the (a) period, (b) phase shift (if any), and (c) range of the following function. y = 3csc⅓x (a) The period of y = 3csc⅓x is (Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.$

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Functions Solutions

Find the (a) period, (b) phase shift (if any), and (c) range of the following function. y = 3csc⅓x (a) The period of y = 3csc⅓x is (Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.) (b) The phase shift of y = 3csc⅓x is (Type an exact answer, using π as needed. Use integers or fractions for any numbers in the expression.)

Function r(t) gives the amount of rainfall accumulated in inches, when it is t hours after the rain started. Which statement represents the meaning of the equation r(5) = 2.5 in this situation?
○ 2.5 hours after the rain started, it has rained 5 inch

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Functions Solutions

Function r(t) gives the amount of rainfall accumulated in inches, when it is t hours after the rain started. Which statement represents the meaning of the equation r(5) = 2.5 in this situation? ○ 2.5 hours after the rain started, it has rained 5 inches ○ 5 days after the rain started, it has rained 2.5 inches ○ 5 hours after the rain started, it has rained 2.5 inches ○ It has rained 5 inches for 2.5 hours

Find the (a) period, (b) phase shift (if any), and (c) range of the following function.
y = -5 sec[x + π/3 ]

(a) The period is 2π. (Type an exact answer in terms of π.)

(b) Select the correct choice below, and fill in the answer box within your cho

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Functions Solutions

Find the (a) period, (b) phase shift (if any), and (c) range of the following function. y = -5 sec[x + π/3 ] (a) The period is 2π. (Type an exact answer in terms of π.) (b) Select the correct choice below, and fill in the answer box within your choice. (A) The phase shift is -π/3 units. (Type an exact answer in terms of π.) (B) The given function has no phase shift. (c) Find the range of the function. Choose the correct answer below. (A) [-5,5] (B) (-∞, ∞) (C) (-∞, -5)U(5, ∞) (D) (-∞, -5]U[5, ∞)

Alyssa was given a gift card for a coffee a shop. Each morning, Alyssa uses the card to buy one cup of coffee. Let A represent the amount money remaining on the card after buying x cups of coffee. The table
below has select values showing the linear

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Functions Solutions

Alyssa was given a gift card for a coffee a shop. Each morning, Alyssa uses the card to buy one cup of coffee. Let A represent the amount money remaining on the card after buying x cups of coffee. The table below has select values showing the linear relationship between x and A. Determine the original amount of money on the gift card. X A 2 15.00 4 10.00 6 5.00

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease per unit of x, to the nearest tenth of a percent.
y = 500(1/2)^(x/11)

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Functions Solutions

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease per unit of x, to the nearest tenth of a percent. y = 500(1/2)^(x/11)

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