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vredina [299]
3 years ago
5

How do you find the Domain of a function

Mathematics
1 answer:
aksik [14]3 years ago
5 0
There are different way but I will give you 2 ways;
1. Learn the definition of the domain. The domain is defined as the set of input values for which the function produces an output value. In other words, the domain is the full set of x-values that can be plugged into a function to produce a y-value.
---
2. Learn how to find the domain of a variety of functions. The type of function will determine the best method for finding a domain. Here are the basics that you need to know about each type of function, which will be explained in the next section:
A polynomial function without radicals or variables in the denominator. For this type of function, the domain is all real numbers.
A function with a fraction with a variable in the denominator. To find the domain of this type of function, set the bottom equal to zero and exclude the x value you find when you solve the equation.
A function with a variable inside a radical sign. To find the domain of this type of function, just set the terms inside the radical sign to >0 and solve to find the values that would work for x.
A function using the natural log (ln). Just set the terms in the parentheses to >0 and solve.
A graph. Check out the graph to see which values work for x.
A relation. This will be a list of x and y coordinates. Your domain will simply be a list of x coordinates.
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The point (-5, 3) is reflected across the x axis. What are the coordinates of this reflection? Group of answer choices
harina [27]

Answer:

( -5, -3)

Step-by-step explanation:

8 0
3 years ago
A food processor for $149.50 cash, or $5.00 down and $10.00 per month for 15 months
ddd [48]

Answer:

Difference in cash and plan = $155 - $149.50 = $5.50

Interest Rate = 3.68%

Step-by-step explanation:

Given:A food processor for $149.50 cash, or $5.00 down and $10.00 per month for 15 months

A food processor by cash = $149.50

Payment plan =  Down payment + $10*15 months

= $5 + $10*15

= $5 + $150

Payment plan = $155

Difference in cash and plan = $155 - $149.50 = $5.50

Now we have to find the interest rate

= (difference/original)*100

= (5.50/149.50)*100

Interest Rate = 3.68%

6 0
3 years ago
Given real numbers a,b > 1.
irina [24]

Answer:

FALSE

Step-by-step explanation:

Recall that a function f(x) is of exponential order c, if there exists a constant M such that and a real r such that

|f(x)|\leq Me^{cx}\;(x\geq r)

Now, take a = 2.5 and b = 2

The functions

f(x)=(2.5)^x\;g(x)=2^x

are both exponential of order 1, since  

\lim_{x \to \infty}\frac{f(x)}{e^x}=\lim_{x \to \infty}\frac{g(x)}{e^x}=0

but a>b

8 0
3 years ago
A given field mouse population satisfies the differential equation dp dt = 0.5p − 410 where p is the number of mice and t is t
AfilCa [17]

Answer:

as shown in the attached file.

Step-by-step explanation:

The detailed, step by step explanation and application of integral with appropriate substitution to get the expression for the time of extinction is as shown in the attachment.

4 0
3 years ago
In a certain lottery game, 34 numbers are randomly mixed and 7 are selected. A person must pick all 7 numbers to win. Order is n
777dan777 [17]

Answer:

p(win)=0.00094

Step-by-step explanation:

-This is a factorial/combination question.

-The probability is calculated using the formula:

p=\frac{x!}{_nC_x}\\\\

Where:

x is the number of successful picks

n is the total number of picks

Therefore, we calculate the probability as follows;

Pp=\frac{x!}{_nC_x}\\\\=\frac{7!}{_{34}C_7}\\\\=0.00094

Hence, the probability of winning is 0.00094

6 0
3 years ago
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