Which of the following accurately shows the range of the function defined below?
Which of the following accurately shows the range of the - 1

Answers

Answer 1
Answer:

Answer: The answer is (b) (2, ∞)

Step-by-step explanation:  We are given a function f(x) in the figure and we are to select out of the given options that accurately shows the range of the function defined.

\textup{For }x < 0, \textup{we have}~f(x)=3.

\textup{For }0\leq x<2,\textup{ we have }f(x)=x^2+2\geq 2.

\textup{For }x\geq 2,\textup{ we have }f(x)=(1)/(2)x+5\geq 5.

Therefore, the range of the function f(x) will be greater then or equal to 2. So, the range will be [2, ∞).

Thus, the correct option is (b) (2, ∞).

Answer 2
Answer: Answer:
it's b

Step-by-step explanation:


Related Questions

A metal washer is made by cutting out a circle 13.2 mm in diameter from a larger circle. To the nearest tenth, what is the area of the washer
Simplify sin(180-x)°-sin x°
You have two events A and B such that P(A|B) = 0.4 and P(A) = 0.4. Based on this information, what can you conclude?a. Event A is not dependent on Event B. b. Event A is dependent on Event B. c. Event B is dependent on Event A. d. Events A and B are dependent on each other. e. It is not possible to determine if the events are independent.
A light rail system traveling between cities averages 50 mph. How much time does it take to travel 120 miles?
It costs $100 to rent the bowling alley, plus $4 per person. The cost for any number (n) of people can be found using the expression 100 + 4n. The cost for 15 people equals _______ PLEASE ANSWER!!!

PLEASE HELP FAST ILL GIVE BRAINLEST Match each function with corresponding restrictions to its domain when p(x)2x and q(x)=2^x​

Answers

Answer:

1. r(x) = [q(x)]/[p(x)] is x ≠ 0

2. r(x) = p(x) * q(x) is All real numbers

3. r(x) = [1]/[p(x) + 16q(x)] is x ≠ -2

4. r(x) = [q(x)]/[p(x) + 2] is x ≠ -1

5. r(x) = [1]/[p(x) - q(x)] is x ≠ 1, 2

Which of the following functions is not written in explicit form? y=x
x^2-6xy-9y^2=0
y=0
y=-squrt (1-x2)

Answers

Answer:

Option 2 and 3 are not written in explicit form.

Step-by-step explanation:

We have four functions we have to find which one of them are not written in explicit form:

Explicit form is the form in which we can finc the value of n.

Option 1 is correct

y=x because

we can calculate y and x by substituting different values.

Option 2 is incorrect because we can not calculate y from the given equation

x^2-6xy-9y^2=0

Option 3 is incorrect because y=0 we can not find anything.

Option 4 is correct because we can find values of y   by substituting different values of x in the given equation that is y=-\sqrt{(1-x^2).

In a​ week, 12 hens laid 60 eggs. What is the unit rate for eggs per​ hen? The unit rate is ______ ​egg(s) per hen

Answers

Answer:

5 eggs per hen is the answee

Answer:

5

Step-by-step explanation:

I divided 60 by 12

Whats the smallest zero for the function y = 4x^2-8x 60

Answers

ok so
we don't know the sign so it could be
4x^2-8x+60 or
4x^2-8x-60
( if it is the first one, go to AAAAAAA
if it is second one go to BBBBBBBBBBB)

to find the zero fo the function, set the fnction to zero
then factor since if you had xy=0, then assume that x and y=0

AAAAAAAAAA
4x^2-8x+60=0
4(x^2-2x+15)=0
4 you get a nonreal root so the missing sign is probably a negative sign
if you were to graph this one, there is no x intercept


BBBBBBBBB
4x^2-8x-60=0
4(x^2-2x-15)=0
4(x-5)(x-3)=0
x-5=0
x=5
x-3=0
x=3
3<5
smallest zero is 3


I would say the smallest zero is 3

The smallest zero for your equation is either -3 or 2.
Since you didn't gave us what 60 was either positive or negative, I had to write it in both forms.
Which are y=4x^2-8x+60 or y=4x^2-8x-60.
If your equation has it with a positive 60 then the smallest zero is 2.
If your equation has it with a negative 60 then the smallest zero is -3.
If you need any further explanation due to how I got the answer just let me know. (:

When evaluating algebraic expressions, the first thing is to

Answers

Answer:

When evaluating an algebraic expression the first thing you do is that you observe what would be the first operation applied on the expression.

In order to determine that you need to know the basic concept of PEMDAS

Where as  

P stands for Parentheses (brackets)

E stands for exponents

M stands for multiplication

D stands for division

A stands for addition  

S stands for subtraction

This is the order that needs to be kept in mind while solving the expression

You have to use the order of operations when evaluating algebraic expressions. The mnemonic device is PEMDAS, which stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. So the first thing is to solve what's in the parentheses.

For the function y = 4x – 11, what is the output when the input is 10?

Answers

= 4x - 11

x is the input, y is the output.

So if you want to know what input is needed to get an output of 10, set y to 10 and solve for x:

10 = 4x - 11

21 = 4x

x = 21/4