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Roman55 [17]
1 year ago
15

The function f(x) = (x − 4)(x − 2) is shown. What is the range of the function?

Mathematics
1 answer:
leonid [27]1 year ago
8 0

The range of the quadratic function is [-1, ∞) after plotting the function on the coordinate plane.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function is:

f(x) = (x - 4)(x - 2)

The above function is a quadratic function.

The above function can be written as:

f(x) = x² - 6x + 8

From the graph,

The minimum value of graph at x = 3 is y = -1

The range of the function is [-1, ∞)

Thus, the range of the quadratic function is [-1, ∞) after plotting the function on the coordinate plane.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

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Let R1 and R2 are the remainders when the polynomials x^3 + 2x^2 − 5ax − 7 and x^3 + ax^2 − 12x + 6 are divided by x + 1 and x −
Andru [333]

Answer:

2.44

Step-by-step explanation:

Given: x³ + 2x² - 5ax - 7      and  x³ + ax² - 12x + 6

Also, R1 + R2 = 6

in order to find the value of a:

Let p(x) = x³ + 2x² - 5ax - 7 and q(x) = x³ + ax² - 12x + 6

Using remainder theorem i.e if a polynomial p(x) is divisible by polynomial of form x - a then remainder is given by p(a).

Then,

R1 = p( -1 ) = (-1)³ + 2(-1)² - 5a(-1) - 7 = -1 + 2 + 5a - 7 = 5a - 6

R2 = q( 2 ) = 2³ + a(2)² - 12(2) + 6 = 8 + 4a - 24 + 6 = 4a - 10

Now,

R1 + R2 = 6

5a - 6 + 4a - 10 = 6

9a = 22

a=2.44

Therefore, Value of a is 2.44

7 0
3 years ago
Does the graph below represent a function? why or why not?
Degger [83]

Answer:

Step-by-step explanation:

The coordinate plane is also called a Cartesian Plane. Function. A function is a relationship where there is only one output for every input. In other words, for every value of x, there is only one value for y.

Does this help?

4 0
2 years ago
Read 2 more answers
What is the factorisation of x2 + 2x
nadezda [96]

The GCF: x

answer: x(x+2)

5 0
11 months ago
Whats 5000+35548-455x4534+38534x233=?
Vlada [557]

Answer:

6,956,000

Do all the operations in order by following the PEMDAS method.

6 0
2 years ago
Find the 8th term of the arithmetic sequence:
damaskus [11]
An = a1 + (n-1)d

a8 = 10 + (8-1)(-1/4)
a8 = 10 + 7(-1/4)
a8 = 10 + (-1.75)
a8 = 8.25 or 8 1/4
4 0
3 years ago
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