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2 years ago

14

What is the range of the function on the graph?all real numbersO all real numbers less than or equal to -1all real numbers less

than or equal to 3all real numbers less than or equal to 0

2 answers:

Yuki888 [10]2 years ago

8 0

The range of the function f(x) is the set of all values that function f takes.

The domain of the function f(x) is the set of all possible values for x.

From the given graph you can see that the domain is all real numbers, $x\in (-\infty,\infty).$

The maximal y-value that f takes is 3 at x=-1. For all another x from the domain, y is less than 3.

Thus, the range of the given function is $y\in (-\infty,3].$

Answer: $y\in (-\infty,3].$

olchik [2.2K]2 years ago

8 0

Answer:

All real numbers less than or equal to 3

Step-by-step explanation:

Edge

You might be interested in

According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or o

Marizza181 [45]

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that $p = 0.304$

100 such adults

This means that $n = 100$

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803$

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

7 0

2 years ago

Un productor agricola tiene que envasar huevos en cajas de 12, de 6 o de 30. Si sabemos que tiene un numero parecido a 1000 huev

musickatia [10]

Answer:

El productor tiene que envasar 960 huevos.

Step-by-step explanation:

Es necesario determinar el mínimo común múltiplo de 6, 12 y 30. En primer lugar, se determina cada número como productos de números primos:

$6 = 2\times 3$

$12 = 2^{2}\times 3$

$30 = 2\times 3\times 5$

El mínimo común múltiplo es:

$M.C.M. = 2^{2}\times 3\times 5$

$M.C.M. = 60$

El número total de huevos próximo a 1000 unidades es un múltiplo del mínimo común múltiplo:

$n = 60\times 16$

$n = 960$

El productor tiene que envasar 960 huevos.

5 0

3 years ago

Which equation represents exponential decay? * a y=3^x-4 b y=2(4)^x c y=1/2(3)^x d: y=6(1/3)^x

yuradex [85]

The equation which represents exponential decay is y= $6(1/3)^{x}$

Given four equations : 1)y= $3^{x} -4$ , 2) y= $2(4)^{x}$ , 3) y= $3^{x}/2$ , 4) y= $6(1/3)^{x}$ .

Equation is relationship between two or more variables expressed in equal to form. Equations of two variables look like ax+by=c. Exponential equation look like $a^{x}$ .

Decay means when x value increases ,the y value decreases.

We haveto put 3 values for x in the equations to check.

1)y= $3^{x} -4$

put x=0,y=-3

put x=1, y=-1

put x=2, y=5

No,itdoes not represents exponential decay.

2) y=2 $4^{x}$

put x=0,y=2

put x=1, y=8

put x=2, y=32

No,it does not represents exponential decay.

3) y= $3^{x}/2$

put x=0,y=0.5

put x=1, y=1.5

put x=2, y=4.5

No,it does not represents exponential decay.

4)y=6 $(1/3)^{x}$

put x=0,y=6

put x=1, y=2

put x=2, y=0.67

Yes ,it represents exponential decay.

Hence the equation which represents exponential decay is y=6 $(1/3)^{x}$ .

Learn more about equations at brainly.com/question/2972832

#SPJ4

4 0

2 years ago

An oblique cylinder has a radius of 10 units and slant length of 26 units.

GREYUIT [131]

Answer:

A. 2,400π cubic units

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the volume in cubic centimeters of a right circular cone with radius 2 centimeters and height 9 centimeters?

andreev551 [17]

Answer:

$V = 37.7cm^3$

Step-by-step explanation:

The formula for the volume of a cone is:

$V = \frac{1}{3} \pi r^2h$

Given:

- Radius = 2cm

- Height = 9cm

Let's plug these into the equation:

$V = \frac{1}{3} \pi (2)^2(9)$

Now solve:

$V = \frac{1}{3} \pi (4)(9)\\V = \frac{1}{3}\pi 36\\V = \frac{36}{3} \pi \\V = 12\pi \\V = 37.7cm^3$

Therefore, the volume of the cone is 37.7cm^3.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

5 0

2 years ago