MATHEMATICS HIGH SCHOOL

Find the range of the following piecewise function.[0,11)
(-4,6]
(0,11]
[-4,6)

Answers

Answer 1

Answer:

Given:

The piecewise function is

$f(x)=\begin{cases}x+4 & \text{ if } -4\leq x<3 \n 2x-1 & \text{ if } 3\leq x<6 \end{cases}$

To find:

The range of given piecewise function.

Solution:

Range is the set of output values.

Both functions $f(x)=x+4$ and $f(x)=2x-1$ as linear functions.

Starting value of $f(x)=x+4$ is at x=-4 and end value is at x=3.

Starting value: $f(-4)=-4+4=0$

End value: $f(3)=3+4=7$

Starting value of $f(x)=2x-1$ is at x=3 and end value is at x=6.

Starting value: $f(3)=2(3)-1=5$

End value: $f(6)=2(6)-1=11$

Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.

Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.

So, the range of the given piecewise function is [0,11).

Therefore, the correct option is A.

Related Questions

9x^2 - 16 = (px+t)(px-t) both p and t are constants. Which of the following could be the value of p
The plot has an area of 78,125 square meters and is 125 meters wide. What is the length of the plot?
"2.3 U is the set of cities in a country.A is the set of cities that have a zoo. B is the set of cities that have a symphony. Describe A ∩ B′ in words."
The point of intersection of two functions is also called the ______.
Which of these r-values represents the strongest correlation?) А. -0.6 • B. -0.9 • C. -0.8 • D. -0.7

a snail moves at a speed of 2.394 inches per minute . If the snail keeps moving at this rate, about how many inches will it travel in 7.489

Answers

2.394 inches per minute x 7.489 minutes = 17.928666 inches.

So, about 18 inches.

$(2.394in)/(1min) * (7.489min)/(1) = 17.928666in$

Or 17.93in with significant digits.

To break it down, you can set up your information as a fraction (which I did for the first fraction.) Then you want your units to cancel out, so I put the 7.489 minutes on the top of the next fraction and multiplied them. The min canceled out and left me with in, so I know I had the correct answer.

Which of the following scenarios exhibits a function relation? Take the first set listed to be the domain of the relation.the set of tree heights and the set of trees in a forest
the set of car make and models and the set of people in a certain town
the set of birthdays and the set of students in a class
the set of people with Social Security cards and the set of Social Security numbers

Answers

Answer:

The scenario that exhibits a function relation is:

The set of people with Social Security cards and the set of Social Security numbers.

Step-by-step explanation:

We know that a function is a relation in which each element of first set has one image i.e. an element can't be mapped to two distinct elements of the other set.

The set of tree heights and the set of trees in a forest.

This relation is not a function.

Since, two trees may have a same height.

The set of car make and models and the set of people in a certain town.

This relation is also not a function.

Since, two people may have a car of same model.

The set of birthdays and the set of students in a class

This relation is not a function since two students may share same birthday.

The set of people with Social Security cards and the set of Social Security numbers.

This relation is a function.

Since, the security card number has a unique number on each car.

This means that each person has a unique card number.

The set of people with social security cards and the set of social cecurity numbers

Jodi is retiring at the age of 65. When she retires, she estimates that she will need a monthly income for 25 years. If Jodi starts with $328,133.32 in an account that pays 6.2% interest compounded montly, approximately what monthly income will she be able to draw?

Answers

Given:
Principal = 328,133.32
Interest rate = 6.2%, compounded monthly
term = 25 years

A = P (1 + r/n)^nt
A = 328,133.32 (1 + 6.2%/12)^12*25
A = 328,133.32 (1 + 0.0052)^300
A = 328,133.32 (1.0052)^300
A = 328,133.32 (4.74)
A = 1,555,351.94 Total value after 25 years.

1,555,351.94 / 300 months = 5,184.51 per month.

Answer:The correct answer is B:2,154

Step-by-step explanation:

Akhtar gets a bonus of 20% of £70Karl gets a bonus of £26
Work out the difference between the bonus Akhtar gets and the bonus Karl gets.

Answers

Answer:

Akhtar gets £12 less than the bonus Karl gets

Step-by-step explanation:

20% of £70 is £14

so, £14 - £26 = -£12
in conclusion, Akhtar gets £12 less than the bonus Karl gets

Answer:

To find the difference between the bonus Akhtar gets and the bonus Karl gets, you can follow these steps:

Calculate Akhtar's bonus:

Akhtar's bonus is 20% of £70. To find this, multiply 20% (or 0.20 as a decimal) by £70:

Akhtar's bonus = 0.20 * £70 = £14

Calculate the difference between Akhtar's bonus and Karl's bonus:

Difference = Akhtar's bonus - Karl's bonus

Difference = £14 - £26

Now, subtract £26 from £14 to find the difference:

Difference = -£12

So, the difference between the bonus Akhtar gets and the bonus Karl gets is -£12. Since Akhtar's bonus is smaller than Karl's, the difference is negative, indicating that Karl receives a higher bonus than Akhtar.

Solve for b if 7+16b=29+5b

Answers

7 + 16b = 29 + 5b

Keep the variables on one side

16b - 5b = 29 - 7

11b = 22

Divide by 11 isolate b:

$(11b)/(11)$ = $(22)/(11)$
11 and 11 cancels out

b = 2

check:
7 + 16(2) = 29 + 5(2)
7 + 32 = 29 + 10
39 = 39

What’s the correct answer for this?

Answers

Answer:

Step-by-step explanation:

Look at |IH| as a clock arrow, it goes clockwise and the triangle is smaller so you have to dilate it by 2/3 because the G'H'I' is smaller

Find the range of the following piecewise function.[0,11)(-4,6](0,11][-4,6)

Answers

Related Questions

Answers

Answers

Answer:

Step-by-step explanation:

Answers

Answers

Answers

Answers

Find the range of the following piecewise function.[0,11)
(-4,6]
(0,11]
[-4,6)