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functions, domain and range, calculus homework help

functions, domain and range, calculus homework help

Daniel Kevins

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QUESTION 1

Evaluate the function.For f(x) =, find f(0) and f(9).

f(0) =-1, f(9) =7

f(0) =-1, f(9) =5

f(0) =12, f(9) =7

f(0) =12, f(9) =5

4 points

QUESTION 2

Find the domain and range of the function.F(t) =

D: (0,∞), R: (0,∞)

D: (-∞,∞), R: (-∞,∞)

D: [0,∞), R: (-∞,∞)

D: (-∞,0), R: (-∞,0)

4 points

QUESTION 3

Evaluate the function.For f(x) =, find f(-4) and f(3).

f(-4) =-30, f(3) =13

f(-4) =-26, f(3) =10

f(-4) =-26, f(3) =13

f(-4) =20, f(3) =23

4 points

QUESTION 4

State the domain of the given function.f(x) =

{x|x is a real number and x ≠ 25}

{x|x ≥ 25}

{x|x is a real number and x ≠ –5, x ≠ 5}

{x}

4 points

QUESTION 5

Find the domain and range of the function.F(t) =

D: (0,∞), R: (0,∞)

D: (-∞,∞), R: (-∞,∞)

D: (-∞,0), R: (-∞,0)

D: [0,∞), R: [0,∞)

4 points

QUESTION 6

Evaluate the function.For f(x) =x²+9x, find .

x

2x + h -9

2x + h +9

2xh + h +9h

4 points

QUESTION 7

State the domain of the given function.f(x) =

{x|x is a real number}

{x|x ≥ 0}

{x|x ≥- }

4 points

QUESTION 8

Find the domain and range of the function.f(x) =

D: (-∞,∞), R:

D: [0,∞), R:

D: [0,∞), R: (-∞,∞)

D: (-∞,0], R:(-∞,0]

4 points

QUESTION 9

State the domain of the given function.f(x) =

{x|x >-3}

{x|x ≥3}

{x|x ≥-3}

{x|x is a real number and x ≠-3}

4 points

QUESTION 10

State the domain of the given function.f(x) =

{x|x is a real number and x ≠ –24}

{x|x is a real number}

{x|x is a real number and x ≠ –8}

{x|x is a real number and x ≠ 8}

4 points

QUESTION 11

State the domain of the given function.f(x) =

{x|x ≥-2}

{x|x ≥2}

{x|x ≤2}

{x|x ≤-2}

4 points

QUESTION 12

Find the domain and range of the function.g(z) =

D: [1,∞), R: (-∞,∞)

D: (-1,∞), R: (-∞,0)

D: (-∞,-1), R: (0,∞)

D: [0,∞), R: (-∞,∞)

4 points

QUESTION 13

Find the domain and range of the function.g(z) =

D: (-∞,∞), R: (0, 2)

D: [-2,2], R: [0,2]

D: [0,∞), R: (-∞,∞)

D: (-2,2), R: (-2,2)

4 points

QUESTION 14

State the domain of the given function.f(x) =

{x|x is a real number and x ≠-6}

{x|x is a real number and x ≠-54}

{x|x is a real number}

{x|x is a real number and x ≠6}

4 points

QUESTION 15

Find the domain and range of the function.g(z) =

D: [1,∞), R: (-∞,∞)

D: (-1,∞), R: (-∞,0)

D: (-∞,-1), R: (0,∞)

D: [0,∞), R: (-∞,∞)

4 points

QUESTION 16

State the domain of the given function.f(x) =

{x}

{x|x is a real number and x ≠49}

{x|x is a real number and x ≠-7, x ≠7}

{x|x ≥49}

4 points

QUESTION 17

State the domain of the given function.f(x) =

{x|x <-7∪ x >5}

{x|x is a real number and x ≠-5, x ≠7}

{x|x is a real number and x ≠7}

{x|x is a real number and x ≠-7, x ≠5}

4 points

QUESTION 18

Evaluate the function.Given f(x) =, find f(-2).

–

4 points

QUESTION 19

State the domain of the given function.f(x) =

{x|x ≥ 5}

{x|x is a real number and x ≠-5}

{x|x >-5}

{x|x ≥-5}

4 points

QUESTION 20

Find the domain and range of the function.f(x) =

D: (-∞,0], R:(-∞,0]

D: [0,∞), R:

D: [0,∞), R: (-∞,∞)

D: (-∞,∞), R:

4 points

QUESTION 21

Find the domain and range of the function.g(z) =

D: [-3,3], R: [0,3]

D: (-3,3), R: (–3,3)

D: (-∞,∞), R: (0, 3)

D: [0,∞), R: (-∞,∞)

4 points

QUESTION 22

Evaluate the function.Given f(x) =, find f(-4).

–

0

–

4 points

QUESTION 23

State the domain of the given function.f(x) =

{x|x <-5 ∪ x > 2}

{x|x is a real number and x ≠ –5, x ≠ 2}

{x|x is a real number and x ≠ 5}

{x|x is a real number and x ≠ –2, x ≠ 5}

4 points

QUESTION 24

Find the domain and range of the function.F(t) =

D: (-∞,0), R: (-∞,0)

D: (0,∞), R: (0,∞)

D: (-∞,∞), R: (-∞,∞)

D: [0,∞), R: [0,∞)

4 points

QUESTION 25

State the domain of the given function.f(x) =

{x|x ≥ 6}

{x|x ≤-6}

{x|x ≤ 6}

{x|x ≥-6}

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