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3 years ago

Given no other restrictions, what are the domain and range of the following funtction? f(x)=x^2-2x+2

Mathematics

2 answers:

STALIN [3.7K]3 years ago

8 0

Answer: Domain of the given function is all real numbers.

Range of the given function is {y | y>=1}

Step-by-step explanation:

The given function is a polynomial and the domain of any polynomial is all the real numbers because for any value of x, the function will have some value.

Hence, the domain will be all real numbers.

Range is the set of y values for which the function is defined.

This is a polynomial and to find the range, we will simplify the polynomial.

$f(x)=x^2-2x+2\\f(x)=(x-1)^2+1$

Therefore, for any value of x, f(x) ≥ 1

Hence, the range becomes {y | y ≥ 1}

jeka943 years ago

8 0

F ( x ) = x² - 2 x + 2
The vertex form:
f ( x ) = ( x² - 2 x + 1 )- 1 + 2 = ( x - 1 )² + 1
Coordinates of the vertex are: ( 1 , 1 ).
Domain: x ∈ R
Range: x ∈ [ 1. + ∞ )

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Step-by-step explanation:

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Luba_88 [7]

Answer:

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Step-by-step explanation:

here's your solution

=> length = 20 m. , width = 12 m

=> Area of rectangle = length*width

=> Area of rectangle = 12*20

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now we need to find area of traingle

=> base = 4 m. , height = 6 m

=> area of traingle = 1/2*base*height

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3 years ago

Read 2 more answers