i needed for today please

What are the domain and range of the function?

f(x)=x+2−−−−−√−3

 

·        

Domain: [−2, ∞)

Range: (−∞, −3]

 

·        

Domain: [2, ∞)

Range: (−∞, −3]

 

·        

Domain: [2, ∞)

Range: [−3, ∞)

 

·        

Domain: [−2, ∞)

Range: [−3, ∞)

 

 

 

What are the coordinates of the hole in the rational function?

f(x)=x2−8x−9/x2−1

 

·        

(1, −4)

·        

(1, −8)

·        

(−1, 5)

·        

(−1, 4)

 

 

Solve for x.

 

log(4x)=2

 

Enter your answer in the box.

x = 

 

 

What effect does changing the function g(x)=log x to f(x)=log(x−1)+4 have on the graph of g(x)?

 

·        

The graph shifts 4 units to the right and 1 unit up.

·        

The graph shifts 1 unit to the right and 4 units up.

·        

The graph shifts 4 units to the left and 1 unit down.

·        

The graph shifts 1 unit to the left and 4 units down.

 

 

 

Mario deposits $300 in a savings account over the course of a year. He deposits money into the account throughout the next year until his balance is doubled. The next year he does the same and deposits money into the account until his previous year’s balance is doubled.

Assume that this trend continues and his account does not earn interest. Consider his initial balance to be year one.

What explicit formula can be used to determine the balance of his savings account at the end of n years?

 

·        

an=300⋅2n−1

·        

an=2â‹…300n

·        

an=300â‹…2n

·        

an=2⋅300n−1

 

 

What is the value of  cos θ, given that  sin θ=−7/10  and  cos θ>0?

Simplify radicals and rationalize the denominator, if necessary.

 

Enter your answer in the box.

Cos θ=  

 

 

What is the exact value of  arccos (1/2) in radians?

 

Enter your answer, in terms of  π , in the box.

 radians

 

 

 

Two six-sided number cubes are rolled. Each number cube has sides numbered 1 through 6.

What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?

 

Enter your answer, in simplest fraction form, in the box.

 

 

 

Graph the functions on the same coordinate plane.

f(x)=x2−4x+3

g(x)=−x2+3

 

What are the solutions to the equation f(x)=g(x)f(x)=g(x)?

Select each correct answer.

 

·        

−1

·        

0

·        

1

·        

2

·        

3

 

 

 

 

 

 

 

 

 

 

 

The table of values represents the function g(x) and the graph shows the function f(x)f(x).

 

 

Which statement about the functions is true?

 

·        

 f(x)  and  g(x).are both absolute value functions.

·        

f(-2) is greater than g(-2) .

·        

f(x) and g(x) intersect at exactly two points.

·        

f(x) is greater than g(x) for all values of x.

 

 

 

 

 

 

 

Which graph represents the function?

 

f(x)=(1/2)x     if x≤−1

−x2        if −1<x<1

−|x|+1   if  x≥1 

 

·        

·        

·        

·        

 

 

 

What is the sum of the first 12 terms in the arithmetic series?

13+2+(−9)+(−20)+...

 

·        

−636

·        

−570

·        

−546

·        

−510

 

 

What is the sum?

 4

∑ 6(-2)j-1

j=1

 

Enter your answer in the box.