1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
klemol [59]
3 years ago
7

Which of the following functions is graphed below??

Mathematics
2 answers:
il63 [147K]3 years ago
6 0

Answer:

The required piece-wise function is

f(x)=\begin{cases}x^3-3 & \text{ if } x\leq 2 \\ x^2+6 & \text{ if } x>2 \end{cases}

Step-by-step explanation:

From the given graph it is clear that it is a piece-wise function because it is braked in two parts.

One part is defined for x≤2 and other part is defined for x>2 because left curve has closed circle at x=2 and right curve has open circle at x=2.

The y-intercept of the function is -3. From the given graph it is clear that the graph defined for x≤2 is a graph of cubic function that shifts 3 units down. So, the required function for x≤2.

f(x)=x^3-3

From the given graph it is clear that the right curve passes through the point (3,15) and moves towards (2,10).

The function f(x)=x^2+6 satisfied by both the points. So, the required function for x>2.

f(x)=x^2+6

Therefore the required piece-wise function is

f(x)=\begin{cases}x^3-3 & \text{ if } x\leq 2 \\ x^2+6 & \text{ if } x>2 \end{cases}

stellarik [79]3 years ago
3 0
It should be B on my opinion
I hope this help you
You might be interested in
An unknown polynomial is added to the expression -3x^3+2x-5 and the resulting sum is 4x^3+7x^2-3. what is the unknown polynomial
DENIUS [597]

Answer:

7x³ + 7x² + 2x - 8

Step-by-step explanation:

Let the unknown polynomial be a

a + -3x³ + 2x - 5 = 4x³ + 7x² - 3

a = 4x³ + 7x² - 3 - (-3x³ + 2x - 5)

a = 4x³ + 7x² - 3 + 3x³ + 2x - 5

a = 7x³ + 7x² + 2x - 8

8 0
2 years ago
How many solutions are there to the questiom below <br> 6x+35+9x=15(x+4)-25
quester [9]
6x+35+9x=15(x+4)-25\\\\15x+35=15x+60-25\\\\15x+35=15x+35

Answer: <span>infinitely many solutions</span>
6 0
3 years ago
What is the equation of a line with a slope of -4 and a point (-2,5) on the line
Lesechka [4]

Answer:

The equation of the line would be y = -4x - 3

Step-by-step explanation:

To find any equation when you have the slope and a point, start with point-slope form and then solve for y.

y - y1 = m(x - x1)

y - 5 = -4(x + 2)

y - 5 = -4x - 8

y = -4x - 3

4 0
2 years ago
In ATUV, the measure of _V=90°, VU = 84, TV = 13, and UT = 85. What ratio
aksik [14]
Tyyyyyy llama I love you I love the way you are the best friend I love you I love the
8 0
2 years ago
Surface area and volume
Wittaler [7]
Triangular prism
length of slanted side:
sqrt(3^2 + 4^2) = 5
SA = 2(1/2)(8)(3) + 8(12) + 2(5)(12) =240
V = (1/2)(8)(3)(12) = 144

cuboid
SA = 2(7x6) + 2(7x5) + 2(6x5) = 214
V = 7x6x5 = 210
6 0
3 years ago
Other questions:
  • Which equation is equivalent to (2x^2+4x-7)(x-3)
    11·1 answer
  • The length of a rectangle is six times its width. if the perimeter of the rectangle is 70 inches, find its area.
    15·1 answer
  • (30 points)
    12·2 answers
  • Please classify the real number: 9.63 with 63 being repeated
    13·2 answers
  • Julia owes her dad $12. She wants a new blouse that just went on sale, so she borrows $20 from her sister. She pays her father $
    8·2 answers
  • If g(x) = 1 3 x3 + 2 1 4 x2 - 5x, and h(x) = 1 2 3 x3 - 3 4 x2 - 3x then g(x) + h(x) =
    11·1 answer
  • What is the slope? Please Help
    12·2 answers
  • Need help with this ASAP! thank you!
    13·1 answer
  • A music store receives shipments of recorders and harmonics. A shipment of 5
    8·2 answers
  • Ill give you 25 points
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!