Use the graph to determine the function's domain and range.

domain: ( -∞, ∞ ) range: ( -∞, 5 ]

domain: ( -∞, ∞ ) range: ( -∞, ∞ )

domain: ( -∞, 2 ] range: ( -∞, 5 ]

domain: ( -∞, 2 ) ∪ ( 2, ∞ ) range: ( -∞, 5 ) ∪ ( 5, ∞ )

Use the graph of the given function to find any relative maxima and relative minima. f(x) = x³ - 12x + 2

minimum: ( 2, -14 ); maximum: ( -2, 18 )

maximums: ( -2, 18 ), ( 0, 0 ); minimum: ( 2, -14 )

maximum: ( 2, -14 ); minimum: ( -2, 18 )

Find the domain of the composite function $$f\ \circ\ g.$$ $$f(x)=\frac{4}{x+5}$$ and $$g\left(x\right)=\frac{5}{x}$$

( -∞, -1 ) U ( -1, 0 ) U ( 0, ∞ )

( -∞, -5 ) U ( -5, 0 ) U ( 0, ∞ )

( -∞, -5 ) U ( -5, -1 ) U ( -1, 0 ) U ( 0, ∞ )

A person invested $13,000, part of the money, x, was placed in a stock that paid 9% annual interest. The rest of the money suffered a 5% loss. Express the total annual income from both investments, I, as a function of x.

C) I(x) = 0.09x - 0.05(13,000 - x)

A) I(x) = 0.05x - 0.09(13,000 - x)

B) I(x) = 0.09x + 0.05(13,000 - x)

D) I(x) = -0.09x + 0.05(13,000 - x)

Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational roots. $$x^3+6x^2+21x+26=0$$

{-2, 3 + $$\sqrt[]{2}$$ , 3 - $$\sqrt[]{2}$$ }

{2, -2 + $$\sqrt[]{2}$$ , -4 - $$\sqrt[]{2}$$ }

Solve the problem using matrices and rref on the calculator. A store sells tents, sleeping bags, and camp stools. A customer buys a tent, 5 sleeping bags, and 2 camp stools for $238. The price of the tent is 9 times the cost of a camp stool. The cost of a sleeping bag is $22 more than the cost of a camp stool. Find the cost of each item.

$72 for a tent; $30 for a sleeping bag; $8 for a camp stool

$72 for a tent; $30 for a sleeping bag; $9 for a camp stool

$72 for a tent; $35 for a sleeping bag; $13 for a camp stool

$81 for a tent; $30 for a sleeping bag; $9 for a camp stool

Solve the system by the addition method. $$2x^2+y^2=66$$ $$x^2+y^2=41$$

{ ( 5, 4 ), ( 5, -4 ), ( -5, 4 ), ( -5, -4 ) }

{ ( 4, 5 ), ( -4, 5 ), ( 4, -5 ), ( -4, -5 ) }

A wreath takes 3 hours to prepare, 2 hours to paint, and 10 hours to fire. A tree takes 16 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 14 hours to paint, and 7 hours to fire. If the workshop has 117 hours for prep time, 85 hours for painting, and 118 hours for firing, how many of each can be made?

B) 7 wreaths; 5 trees; 4 sleighs

A) 4 wreaths; 7 trees; 5 sleighs

C) 5 wreaths; 4 trees; 7 sleighs

D) 8 wreaths; 6 trees; 5 sleighs

MAT 171 Final Exam Review and Forum

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MAT 171 Final Exam Review and Forum

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Practice Problem

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HSA-REI.B.4B, HSF-IF.C.7D, HSA.REI.A.2

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Katina Davis

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the linear equation. 19t - 3 = 9t + 5

{ 14 }

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

{ 0 }

{ 1 }

{ 2 }

{ 34 }

Tags

CCSS.HSA.REI.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the absolute value equation or indicate that the equation has no solution. |4x + 8| = 5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

{ -11, 1 }

{ -11, 7 }

{ 11, 7 }

{ 11, -7 }

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

∅

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CCSS.HSA-REI.B.4B

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MAT 171 Final Exam Review and Forum

60 questions

Solve the linear equation. 19t - 3 = 9t + 5

Solve the absolute value equation or indicate that the equation has no solution. |4x + 8| = 5

The selling price of a camera is $200. If the markup is 30% of the dealer's cost, what is the dealer's cost of the camera?

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