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
Serggg [28]
3 years ago
6

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

Mathematics
1 answer:
yuradex [85]3 years ago
3 0

Answer:

The range is y ≥ -1

Step-by-step explanation:

∵ f(x) = (x - 4)(x - 2)

∴ f(x) = x² - 2x - 4x + 8

∴ f(x) = x² - 6x + 8 ⇒ quadratic function (ax² + bx + c) represented by

   parabola graphically

∵ a = 1 , b = -6 , c = 8

∴ x-coordinate of its vertex = -b/2a = -(-6)/2×1 = 3

∴ f(3) = (3)² - 6(3) + 8 = -1

∵ a is positive ⇒ the curve has minimum point and it's open upward

∴ the minimum point is (3 , -1)

∴ The range is y ≥ -1 ⇒ because the minimum value is -1

You might be interested in
A biker travels the 120 mi from New York , NY to Wilmington, DE in 8 hours. A bus, a truck, and a rider on a horse take the same
pickupchik [31]

Answer:

First, remember the relation:

Distance = Speed*Time.

We know that the distance is 120mi.

A) For the biker we know that:

Time  = 8hours.

Speed = Distance/Time = 120mi/8h = 15 mi/h.

B) For the bus we know that:

Time = 2 hours.

Speed = Distance/Time = 120mi/2h = 60 mi/h.

C) For the truck we know that:

Time = 2.5 hours.

Speed = Distance/Time = 120mi/2.5h = 48 mi/h.

D) For the rider on a horse we know that:

Time = 18.75 hours.

Speed = Distance/Time = 120mi/18.75h = 6.4 mi/h.

E) The equation for the speed is:

Speed = Distance/Time.

You can see that time is in the denominator, this means that if for a fixed distance, the time increases, then the denominator increases, which would imply that the speed decreases.

Then the speed is inversely proportional to the time when the distance is fixed.

4 0
3 years ago
Graph y = 3x - 3 and label the x- and y-intercepts. My answer: (0,3)
Lesechka [4]
The slope-intercept form of the linear function is y = m x + b , where m is the slope and b is y-intercept.
Here we have: y = 3 x - 3
a ) When y = 0
0 = 3 x - 3
- 3 x  = - 3
x = ( - 3 ) : ( - 3 ) 
x = 1
When x = 0
y = 3 * 0 - 3 
y = - 3
So x - intercept is ( 1, 0 ) and y-intercept is ( 0, - 3 ).
b ) The slope:
m = ( y2 - y1) / ( x2 - x1 ) = 
= ( - 3 - 3 ) / ( 5- 7 ) = ( - 6 ) /( - 2 ) = 6 / 2 = 3
Answer: The slope m = 3 . 
5 0
2 years ago
Which is the simplified form of r-7 + s-12?
timama [110]

Answer:

\frac{1}{ {r}^{7} }  +  \frac{1}{ {s}^{12} }

3 0
1 year ago
Given g(x) = -x – 5, find g(5).
dimulka [17.4K]
Answer is -10

Work: -(5+5)
8 0
3 years ago
What 12/12+12/12+8/12=
Fudgin [204]

Answer:

8/3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which statement best describes a method that can be used to sketch the graph.
    8·2 answers
  • Help the question is about finding the angle on a triangle and this is 7th grade stuff
    10·2 answers
  • Which rectangle is similar rstu
    13·2 answers
  • Which pair does not represent the probabilities of complimentary events?
    9·1 answer
  • Could some one please help me with this
    7·1 answer
  • Plot the x- and y- intercepts of the function.
    15·1 answer
  • Blueberries cost $4.00 per pound. How many pounds of blueberries can you buy for $1.00?
    12·2 answers
  • PLEASE HELP HOW DO I DO THIS
    11·1 answer
  • 5. You are scheduling your classes for next year. There are 4 required classes: a physical education
    15·1 answer
  • Brain if correct help pls
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!