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
Sliva [168]
2 years ago
15

On a coordinate plane, a curved line crosses the x-axis at (negative 1.5, 0), the y-axis at (0, negative 2), and the x-axis at (

1.5, 0).
Determine the domain and range of the given function.

The domain is
all real numbers
.

The range is
.
Mathematics
1 answer:
Lisa [10]2 years ago
7 0

Domain F(x) = All real numbers and the Range F(x)  [ -2 ,  + ∞ ]

<h3>What is the domain and range of a function?</h3>

A domain is the set of values for which the given function is defined.

Range is the set of all values which the given function can output.

The curve points are

P₁ ( -1,5 , 0 )   Q ( 0. -2 ) and P₂ ( 1,5 , 0 )

We can see that P₁  and P₂ are symmetric around the y-axis, and point Q looks like a vertex so we can conclude the curve as

ax² + bx + c = y

The curve is a parabola

when x = 0      

y = -2    

then   c  = - 2

The equations we get,

a (-1.5)²  +  b (-1.5) + c = 0      

2.25a  - 1.5b - 2 = 0

a (1.5)²   +  b ( 1.5)  + c = 0    

2.25a + 1.5b -2 = 0

Adding these two equations

4.5a - 4 = 0

a =  4/4.5

The vertex is Q ( 0 , -2 )

x = - b/2a      

0 = - b/ 9      

b  =  0

Therefore the equation of the function :

ax² + c = 0

(4/4.5) x² - 2 = 0

Therefore, Domain F(x) = All real numbers and the Range F(x)  [ -2 ,  + ∞ ]

Learn more about appropriate domain here:

brainly.com/question/20073127

#SPJ1

You might be interested in
Please I need help in finding the diameter
Goshia [24]

Answer:

im pretty sure its 152, im sorry if im wrong, i took 180 and subtracted 180 - 16 - 12 and got that soooo

Step-by-step explanation:

5 0
3 years ago
Can someone give me the answers to this or how to find the answers to it?
faltersainse [42]

the discriminant formula is b^2-4ac

so plug the values from each equation into the formula and solve, the result is the value of the discriminant

if the number is negative, there are no real roots/x-int

if it is 0 there is one real root/x-intercepts

if it is positive it has 2 real roots/x-int

and to find the actual solutions you have to plug the values into the quadratic formula

6 0
3 years ago
What is 11mp in expanded form
Flauer [41]

Answer:

<h3>Eleven-per miles who doesn't know that or 11.✌️</h3>
4 0
3 years ago
Spell stun seed backwards and say it
Lisa [10]
Dees nuts because it’s spleens it but yea
4 0
3 years ago
Whats the distance given between (-4,1) and (2,0)​
inn [45]

Answer:

√37

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • during a long race a professional cyclist was able to sustain a speed of 20 miles per hour. How far could this cyclist travel at
    15·1 answer
  • Simplify the expression 8^5/3
    8·1 answer
  • The profit earned by a hot dog stand is a linear funsion of the number of hot dogs sold.It cost the owner $48 dollars each morni
    9·1 answer
  • PLZ HELP ASAP!!!
    13·1 answer
  • Which is true about the solution to the system of inequalities shown?
    7·1 answer
  • Which equation is a function?​
    14·2 answers
  • What is the area of a square with sides of length 9?
    5·1 answer
  • When ever you have time plz help me
    14·1 answer
  • Tbh ive fogotten how to do all of these so plz helpppppppppp
    8·1 answer
  • You got a quiz back and your teacher wrote +16, and80% at the top. How many points was the quiz worth
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!