All categories

2 years ago

The function of f(x) = (x-4)(x-2) What is the range of the function?

Mathematics

2 answers:

xz_007 [3.2K]2 years ago

8 0

Answer:

All real numbers greater than or equal to -1

Step-by-step explanation:

f(x) = (x-4)(x-2) = x²-4x-2x+8

f(x) = x²-6x+8

f(x) = [(x)²-2(x)(3)+3²-3²]+8

f(x) = (x-3)²-9+8

f(x) = (x-3)²-1

The function has a least value of -1.

So, the range is also all real values greater than or equal to -1

Galina-37 [17]2 years ago

4 0

Answer:

D) All real numbers greater than or equal to -1

Step-by-step explanation:

The range is at least -1

You might be interested in

Which of the following equations can be used to find the length of EF in the

Vinil7 [7]

The equation which can be used to find the length of EF is option A which is EF= $\sqrt{24^{2} -12^{2} }$ .

Given the length of base of right angled triangle is 12 and the hypotenuse be 24.

We are to find the length of EF and tell which equation can be used to find the length of EF.

We know that pythagoras theorem applies in a right angled triangle.

Pythagoras theorem says that in a right angled triangle the square of the hypotenuse is equal to the sum of square of base and perpendicular.

$H^{2} =B^{2} +P^{2}$

In this triangle we are only given base and hypotenuse and we have to find EF which is perpendicular.

$(DE)^{2} =(EF)^{2} +(DF)^{2}$

EF= $\sqrt{DE^{2}-DF^{2} }$

= $\sqrt{(24)^{2} -(12)^{2} }$ --1

= $\sqrt{576-144}$

= $\sqrt{432}$

Hence the equation which can be used to find the length of Ef is option A which is EF= $\sqrt{24^{2} -12^{2} }$ .

Question is incomplete as it should include the figure also.

Learn more about pythagoras theorem at brainly.com/question/343682

#SPJ1

3 0

1 year ago

Select the graph that correctly represents the

algol13

It’s D
...........................

4 0

2 years ago

What is the difference x + 5/ x + 2 - x + 1 /x^2 + 2x

xxTIMURxx [149]

2x^3 + 2x^2 + 5x + 1/ x^2

3 0

3 years ago

Read 2 more answers

Will give brainliest if this math question is answered correctly

solniwko [45]

Answer: 37 fruit pies+42 fruit juices=79 total items

(a) 37*1.65= $61.05

42*1.36= $57.12

(b) Mr Sanchez's class earned more money.

(c) Mr. Sanchez's class earned $3.93 more than Mr. Kelly's class

$61.05-$57.12= $3.93

Step-by-step explanation:

6 0

2 years ago

Solve the system of equations by substitution. What is the solution for x? (1 point)

Cerrena [4.2K]

       2x + y = 1
          2x - 2x + y = 1 - 2x
       y = 1 - 2x
       y = -2x + 1
       4x + 2y = -1
    4x + 2(-2x + 1) = -1
4x + 2(-2x) + 2(1) = -1
      4x - 4x + 2 = -1
         2 ≠ -1

The solution of the problem can't be a solution because they are both parallel lines, which means they have no solution.

8 0

2 years ago

Read 2 more answers