Graph each piecewise function. Then Identify the properties.

Answers

Answer 1

Answer:

Shown below

Step-by-step explanation:

A piecewise-defined function is a function defined by two or more equations over a specified domain. From the figure, our piecewise function is:

$\left \{ {{3x^2+6x+4 \ if \ x \leq 0} \atop {-2x+4 \ if \ x>0}} \right.$

This function has been plotted below and we know some properties:

The domain is the set of all real numbers

The range is (-∞, ∞)

The function is the combination of a straight line and a parabola.

The point at which the line and the parabola meet is (0,4)

Related Questions

What is the value of x in the equation 2x+7=1
Order these numbers from least to greatest. 8.16 , 16320 , 829 , 8.139
Factor completely. 16 - 49x2
What is an equation of the line that passes through the points (3,1)is parallel to the line 2X+3Y=24?
Please show all work.

30000 divided by 0.01

Answers

the answer would be 3,000,000

3,000,000 is the answer

When i was two, my brother was half my age
now i am 100. what is my brothers age

Answers

When you were 2, your brother were 2/2=1. So you are one year older than your brother.
If you are 100 now, then your brother is 100-1=99.

99 as 2 halved is 1 so 100-1= 99

Solve the equation
-13v=195

A. -1/15
B. 15
C. 1/15
D. -15

Answers

Good Morning

-13v=195

Divide both sides by -13

-13v/-13= 195/-13

v= -15

Answer: D

I hope that's help !

Please help me! Thanks what is the ratio of a to b?

1/2 = a+b/a-b

A. -3

B. -1/2

C. -1/3

D. 3

Answers

(Cross Multiply)2a+2b=a-b
a=-3b
if b=1; a=-3
correct answer is -3..
Good Luck..

1=a+b. 2=a-b a= 2+b 1=2+b+b. a=2-1/2=3/2 -1=2b b=-1/2 a/b= (3/2)/(-1/2) = (3/2)(-2/1) =-3

Convert 879/112 to whole or mixed number

Answers

$\sf{ (879)/(112) =?}$

$\sf{ 112 * 7 = 784}$

$\sf{ 879 -784= 95}$

$\sf{ (879)/(112) = (784+95)/(112) = (784)/(112) + (95)/(112) = 7 + (95)/(112) = 7 (95)/(112)}$

$\sf(879)/(112) = \boxed{7 (95)/(112)}$

I don't know what you mean by "or" but I will do either one of them

879/112 to mixed number =

879 ÷ 112

= 7 R95

= 7 95/112

The denominator remains the same, the numerator is the remainder. While 7 is the whole number! :D

A 10 meter long wire is attached to the top of a flagpole 5√3 meters long. What is the measure of the angle the wire makes with the ground?A. 25 degrees
B. 45 degrees
C. 60 degrees
D. 90 degrees

Answers

Well there has to be a right angle in there somewhere as the pole must be perpendicular to the ground.

Using the sine rule:
sinA/a = sinB/b where a = 10, A = 90, b = 5√3, B = B
Re-arrange for B, B = arcsin (b(sinA)/a)
B = arcsin(5√3(sin90)/10)
B = 60 degrees.

Answer is C

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There is a discrete relationship between the number of workers and the number of bricks layed on a wall. Use this information to answer problems 9-11. What is the domain for the function that models the relationship between workers and bricks laid on the wall?