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attashe74 [19]
3 years ago
12

Evaluate the function at x=-1​

Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0

Answer:

y=0 when x=-1

Step-by-step explanation:

We look at the chart to see that there is a value for y when x equals negative 1.

According to the chart, y equals 0 when x=-1.

Therefore, the answer is 0.

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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 (
Lisa [10]

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

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2 years ago
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