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
dmitriy555 [2]
3 years ago
6

Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing,

and the end behavior when the following changes are made. Make sure to account for even and odd functions. When f(x) becomes f(x) + 2 When f(x) becomes −one half ⋅ f(x)
Mathematics
1 answer:
alina1380 [7]3 years ago
5 0

Answer:

We are have the function f(x).

Part 1: It is given that the function f(x) is transformed to f(x)+2.

This gives us that the function is translated 2 units upwards.

As, the y-intercept of f(x) is f(0). So, the y-intercept of f(x)+2 is f(0)+2, which is also translated 2 units up.

Translation does not change the behavior of the function.

So, if f(x) is increasing (or deceasing), then f(x)+2 will be increasing(or decreasing) respectively.

Moreover, f(x)+2 will be even or odd if f(x) is even or odd respectively.

Part 2: It is given that the function f(x) is transformed to \frac{-1}{2}f(x)

This gives us that the function is shrinked vertically by a factor of \frac{1}{2} followed by a reflection across x-axis.

Also, the y-intercept of is \frac{-1}{2}f(0).

The graph of f(x) after changing to \frac{-1}{2}f(x) will flip over the x-axis.

So, the function \frac{-1}{2}f(x) will increase or decrease when f(x) decrease or increase respectively.

Moreover, \frac{-1}{2}f(x) will be even if f(x) is even or odd respectively.

You might be interested in
Constant rate of change
statuscvo [17]

Answer:

The constant rate of change is the average change that happens between a time period. In slope-intercept form, it is the mx part of the equation.

y = mx + b

7 0
3 years ago
You are going to make 5 assemblies, where each assembly requires the use of 1 Type A Bolt. You have a container of bolts that co
OverLord2011 [107]

Answer:

Step-by-step explanation:

You are to make 5 assemblies.

Each assembly requires the use of 1 Type A bolt.

To make the 5 assemblies, you need 5 Type A bolts.

The container of bolts has a total of 60 bolts.

The focus - Type A bolts - is 20 out of this 60.

The probability of obtaining a Type A bolt at all, is 20/60, which is = 1/3

(A) What is the probability of taking the exact number of Type A bolts you need for your 5 assemblies, if you randomly take 10 bolts from the container?

- The exact number of Type A bolts you need for the 5 assemblies is 5

1/3 × 5/10 =  5/30 =  1/6 =  0.167

(B) What is the probability of taking/having less than 5 Type A bolts out of the randomly selected 10 bolts? The solution is to sum up the following:

1/3 × 4/10 = 0.133

1/3 × 3/10 = 0.1

1/3 × 2/10 = 0.067

1/3 × 1/10 = 0.033

1/3 × 0/10 = 0

TOTAL = 0.333

7 0
2 years ago
H is the set of seven integers less than 10 but greater than or -8.
NNADVOKAT [17]

(10 - 1) = 9
7 0
3 years ago
From Apex Algebra 2!! HELP!!! I’ll rate you the brainliest :) (Part 1 and 2)
ivann1987 [24]

slope (m ) = \frac{5}{2} , y - 1 = \frac{5}{2} ( x - 2)

The equation of a line in ' point- slope form 'is

y - b = m (x - a)( m is the slope and (a , b ) a point on the line )

To calculate m use the ' gradient formula'

m = (y₂ - y₁ )/(x₂ - x₁ )

let (x₁, y₁ ) = (2 , 1) and (x₂, y₂ ) = (14 , 31) ← values chosen from table

m = (31 - 1 )/(14 - 2 ) =\frac{30}{12} = \frac{5}{2}

equation in point- slope form using m = \frac{5}{2} and (a,b )= (2 , 1)

y - 1 = \frac{5}{2} ( x - 2)



7 0
3 years ago
The temperature is -3°F at 7:00 A.M. During the next 4 hours, the temperature increases 21°F. What is the temperature at 11:00 A
3241004551 [841]

Answer: 18°F

Step-by-step explanation: if you add 21 and -3 you get 18

4 0
3 years ago
Other questions:
  • Linda’s container of cranberry juice holds 200 milliliter. Harry’s container holds 7/8 as much juice .how many milliliters of cr
    15·2 answers
  • I need help with number 4
    10·1 answer
  • Mrs. Manning carries a very large purse.The purse and its contents weigh 5.18 pounds. IF she takes her makeup out of the purse,
    6·1 answer
  • Michelle has a maximum of 4500 milliliters  of water for her plants today. Each basil plant requires 350 of water, and each fenn
    13·1 answer
  • If a 90 degree angle is a right angle, how does 360 degrees make a circle? Not for school,just for thought.
    14·2 answers
  • 1 fourth of 16 in a numerical expression
    13·1 answer
  • Which of the following is a Composite Number?
    6·2 answers
  • In a class with 28 students, there are 19 boys. What is the ratio of girls to boys? 9:19 19:28 19:9 28:9​
    10·2 answers
  • PLEASE HELP THIS IS MY EXAM! Point M is the midpoint of overline PQ. The coordinates of point M are (2, 4) . The coordinates of
    8·2 answers
  • I need hellpppppppppppppppppppppppppppppppppppppppppp
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!