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21. [-70.6 Points]

DETAILS

LARCOLALG10 1.7.032.

MY NOTES

ASK YOUR TEACHER

PRACTICE ANOTHER

Solve the inequality. Then graph the solution set.

-93-4x – 5 < 3
- 15x
-10
-8
-6
-4
-2
0
2
4
6
8
10
0 0 0
NO
SOL
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6.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 25.023

MY NOTES

ASK YOUR TEACHER

The function is related to one of the parent functions described in an earlier section

96)–(x-2)

(a) Identify the parent function.

(b) Describe the sequence of transformations from to g. (Select all that apply.)

vertical shift of 2 units upward

reflection in the x-axis

vertical shrink

vertical stretch

horizontal shift of 2 units night

(c) Sketch the graph of 9

0

(d) Use function notation to write g in terms of

9(x) —

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 2.6.016.

MY NOTES

ASK YOUR TEACHER

Evaluate the function for f(x) = x + 3 and g(x)=x2-2.

(F-9X5)

(7-95)-1

GOLD

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g(x) = -1

FT

x

7.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 2.6.016.

MY NOTES

ASK YOUR TEACHER

Evaluate the function for f(x) = x + 3 and g(x) = x2 – 2.

(f-g)(5)

(f-9)(5) =

X

8.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 2.6.022.

MY NOTES

ASK YOUR TEACHER

Evaluate the function for f(x) = x + 3 and g(x) = x2 – 2.

(f/g)(0)

(f/g)(0) =

x

9.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 2.7.057.

MY NOTES

ASK YOUR TEACHER

Determine whether the function has an inverse function.

x + 1

g(x) =

8

O Yes, g does have an inverse.

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Evaluate the function for f(x) = x + 3 and g(x) = x2 – 2.

(f/g)0)

(f/g)0) =

X

9.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 2.7.057.

MY NOTES

ASK YOUR TEACHER

Determine whether the function has an inverse function.

g(x) =

X + 1

8

Yes, g does have an inverse.

O No, g does not have an inverse.

x

If it does, then find the inverse function. (If an answer does not exist, enter DNE.)

g–(x) =

x

10.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 3.1.013.

MY NOTES

ASK YOUR TEACHER

Write the quadratic function in standard form.

f(x) = x2 – 6x

f(x) =

x

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10.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 3.1.013.

MY NOTES

ASK YOUR TEACHER

Write the quadratic function in standard form.

MX) – 2-X

X

Sketch its graph

-30

10

20

-30

10

-10

-10

-20

-20

300

101

-30

-20

-10

10

20

-30

-20 -10

10 20

30

-10

-20

– 20

-30

-30

Identify the vertex, axis of symmetry, and x-interceptis). (If an answer does not edst, enter DNE.)

vertes (x,x))-(

axis of symmetry

X

x-intercept

(x,x) – (

(smaller x-value)

X

intercept

(x, Rx)) – (

(larger x-value)

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 3.3.077

MY NOTES

ASK YOUR TEACHER

Simplify the rational expression by using long division or synthetic division.

x+x2-3x – 11

X+9

2-ax-9

12.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 4.2.019.

MY NOTES

ASK YOUR TEACHER

Consider the following.

GOLD

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-&-9,

12

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 4.2.019.

MY NOTES

ASK YOUR TEACHER

Consider the following.

Cx – 4x +9

a) State the domain of the function.

O all real numbers x

O all real numbers x except —

O all real numbers x exotx —

O all real numbers x cox

O all real numbers x except – 4

(b) Identify all intercepts. (If an answer does not exist, enter DNE.)

x-intercept (XVI-

y-intercept(x,-

(c) Find any vertical and horizontal asymptotes. (Enter your answers as a comma-separated list of equations. If there are no asymptotes, enter DNE.)

(d) Plot additional solution points as needed to sketch the graph of the rational function.

151

5

10

15

-S

– 10

-10

151

10

-15

-5

10

-10

-15

13.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 5.1.016.

MY NOTES

ASK YOUR TEACHER

Match the function with its graph

GOLD

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13.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 5.1.016.

MY NOTES

ASK YOUR TEACHER

Match the function with its graph.

f(x) = 3x – 3

y

10

10

8

6

را از

4

(0,1)

X

X

10

2

6

8

2

4

у

207

101

8

15

10

FO, 3)

(0,1)

X

X

2

4

2

4

14.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 5.1.028.

MY NOTES

ASK YOUR TEACHER

Use the One-to-One Property to solve the equation for x.

3* – 9

GOLD

O

O

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15.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 5.2.015.

MY NOTES

ASK YOUR TEACHER

Evaluate the logarithm at the given value of x without using a calculator.

Function Value

f(x) = log2(x)

x = 128

X

16.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 5.2.028.MI.

MY NOTES

ASK YOUR TEACHER

Use the properties of logarithms to simplify the expression.

3l0g3(9)

x

17.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 5.2.032.

MY NOTES

ASK YOUR TEACHER

Use the One-to-one Property to solve the equation for x. (Enter your answers as a comma-separated list.)

log(x2 + 6x) = log(27)

x= 3, 9

X

18.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 5.3.009.

MY NOTES

ASK YOUR TEACHER

Evaluate the logarithm using the change-of-base formula. Round your result to three decimal places.

log (14)

2.402

GOLD

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19.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 5.3.046.

MY NOTES

ASK YOUR TEACHER

Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume the variable is positive.)

logo

X

Viewing Saved Work Revert to Last Response

20.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 5.4.012.

MY NOTES

ASK YOUR TEACHER

Solve for x. (Round your answer to three decimal places.)

1

e =

6

X =

x

21.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 5.4.015.

MY NOTES

ASK YOUR TEACHER

Solve for x.

log2 * = 5

x = 32

22.

DETAILS

PREVIOUS ANSWERS

LARCOLALG10 5.4.024.

MY NOTES

ASK YOUR TEACHER

Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter your answers as a comma-separated list.)

6x + 5 = 29

x =

X

GOLD

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