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
lozanna [386]
2 years ago
11

What’s the domain and range of this graph?

Mathematics
1 answer:
avanturin [10]2 years ago
3 0

Given:

The graph of a downward parabola.

To find:

The domain and range of the graph.

Solution:

Domain is the set of x-values or input values and range is the set of y-values or output values.

The graph represents a downward parabola and domain of a downward parabola is always the set of real numbers because they are defined for all real values of x.

Domain = R

Domain = (-∞,∞)

The maximum point of a downward parabola is the vertex. The range of the downward parabola is always the set of all real number which are less than or equal to the y-coordinate of the vertex.

From the graph it is clear that the vertex of the parabola is at point (5,-4). So, value of function cannot be greater than -4.

Range = All real numbers less than or equal to -4.

Range =  (-∞,-4]

Therefore, the domain of the graph is (-∞,∞) and the range of the graph is (-∞,-4].

You might be interested in
The probability that an event will occur is 15%. Which of these best describes the likelihood of the event occurring? (5 points)
olga_2 [115]
Unlikely because certain would be 100% which is wrong
6 0
2 years ago
If something is scarce it is generally
dmitriy555 [2]
Little of, not in plethora, small numbered
6 0
3 years ago
What is the equation of the straight line that passes through (2,1) (5,7)
VMariaS [17]

Answer:

y = 2x - 3

Step-by-step explanation:

We are asked to find the equation of a straight line

Step 1: find the slope

( 2 , 1) ( 5 , 7)

x_1 = 2

y_1 = 1

x_2 = 5

y_2 = 7

Insert the values into the equation

m = (y_2 - y_1 )/ (x_2 - x _1)

m = (7 - 1 )/ (5 - 2)

m = 6/3

= 2

Step 2: substitute m into the equation

y = mx + c

y = 2x + c

Step 3 : sub any of the two points given into the equation

Let's use ( 2, 1)

x = 2

y = 1

y = 2x + c.

1 = 2(2) + c

1 = 4 + c

c = 1 - 4

c = -3

Step 4: sub c into the equation

y = 2x + c

y = 2x - 3

7 0
3 years ago
A bag contains 70 pencils out of which 15 are green and 30 blue.(i)How many pencils of other colours. are in the bag?(ii)A penci
Bas_tet [7]

Answer:

i) 25

ii) 30:70; 30 out of 70 pencils will be blue.

Step-by-step explanation:

i) 70 - (15+30)= 25 other colors in the bag.

ii) 30:70

4 0
3 years ago
Help me please :(*******​
WITCHER [35]

Answer:

m∡2 = 90°

Step-by-step explanation:

diagonals of a rhombus are perpendicular

8 0
3 years ago
Other questions:
  • Given a long integer find the number of ways to represent it as a sum of two or more consecutive positive integers
    10·1 answer
  • Defiantly need help with this one please HELP AND EXPLAIN
    15·2 answers
  • Solve Each problem for X<br> Problem 1<br> 120<br> 600<br> c
    7·1 answer
  • -2x+5y=-15 5x+2y=-6 what is the solution
    14·1 answer
  • Super easy question HELP
    14·1 answer
  • Find the difference. (3 • 1,000) - (2• 100)
    9·1 answer
  • Put in order from least to greater3/8,3/4,5/6,1/2
    14·1 answer
  • What is the slope of the line shown in the graph? A. 3/2<br> B. 2/3<br> C. -3/4<br> D. - 2/3
    7·1 answer
  • Can someone please help me with this
    7·1 answer
  • Help will give 40 brainlest
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!