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Calc 1 1.1

 

<== Calculus 1
Number Question Answer
See the work

1.

 

 

 

Given the function ƒ(x) = 3+6x^2,           
calculate the following values:
ƒ(a)=
ƒ(a+h)=
(ƒ(a+h)-ƒ(a))/h=

 

3+6a^2

6(a+h)^2+3

6*2*a+6*h

The work

Point Cost: 3

2.

 

The domain of the function
ƒ(x)=sqrt(2x-30) is

 

[15, ∞)
The work

Point Cost: 3

3.

 

The domain of the function
ƒ(x)=sqrt(22.5-3x) is

 

(-∞, 7.5]

 

The work

Point Cost: 3

4.

 

The domain of the function
h(x)=(x+6)^2(2x-20)^(1/4) is

 

[10, ∞)

 

The work

Point Cost: 3

5.

 

The domain of the function
g(t)=(t-38)^(1/3) is

 

(-∞,∞)
The work

Point Cost: 3

6.

 

The domain of the function
ƒ(x)=(x+11)/(x^2-49) is

 

(-∞,7) U (-7,7) U (7, ∞)                   

 

The work

Point Cost: 3

7.

 

The domain of the function
ƒ(x)=sqrt(x^2-25) is

 

(-∞,-5] U [5,∞)

 

The work

Point Cost: 3

8.

 

The domain of the function
ƒ(x)=sqrt(3+x)/(2-x) is

 

[-3,2) U (2, ∞)
The work

Point Cost: 3

9.

 

The domain of the function
ƒ(x)=1/sqrt(9x+16) is

 

(-16/9, ∞)

 

The work

Point Cost: 3

10.

 

The domain of the function
h(x)=sqrt(12x/(x^2-121)) is

 

(-11,0] U (11,∞)

 

The work

Point Cost: 3

11.

 

The domain of the function
g(x)=sqrt(x(x-18)) is

 

(-∞,0] U [18, ∞)

 

The work

Point Cost: 3

12.

 

 

 

Find domain and range of the function
ƒ(x)=-8x-16x+6 

Domain:__________

Range:  __________

 

Domain:(-∞,∞)

Range: (-∞,14]

The work

Point Cost: 3

13.

 

 

 

Find domain and range of the function
ƒ(x)=11x^2-18 

Domain:__________

Range:  __________

 

Domain:(-∞,∞)

Range:  [-18, ∞)

The work

Point Cost: 3

14.

 

 

 

Find domain and range of the function
ƒ(x)=4*sqrt(x)-16

Domain:__________

Range:  __________

 

Domain:[0, ∞)

Range:  [-16, ∞)

The work

Point Cost: 3

15.

 

 

 

 

Given the function
ƒ(x)={
x^2+2x if x ≤ -1
x+4 if x> -1


ƒ(-7)=______
ƒ(-1)=______
ƒ(8)= ______

 

ƒ(-7)=35
ƒ(-1)=-1
ƒ(8)= 12
The work

Point Cost: 3

16.

 

 

 

 

Match the functions with their graphs.

Enter the letter of the graph below which 

corresponds to the function.

A.

.

B.

 

C.

D.

 

 

 

1. A

2. D

3. B

4. C

 

The work

Point Cost: 1

 

17.

 

 

For the function h(x) given in the graph

The domain of h(x) is:___________
The range of h(x) is:________
1. h(3)
2. h(-3)
3. h(0)
4. h(-1)

 

Domain: [-3, 3]

Range: [-2,2]

1. -1

2.  2

3. -2

4. -1

 

 

The work

Point Cost: 3

18.

 

The function ƒ(x)=x^2+x is

 

Even

 

The work

Point Cost: 1

19.

 

The function ƒ(x)=x^2-X is

 

Neither

 

The work

Point Cost: 1

20.

 

The function ƒ(x)=x^3-x is

 

Odd
The work

Point Cost: 1