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
icang [17]
3 years ago
10

Which of the following is an even function?

Mathematics
2 answers:
MaRussiya [10]3 years ago
8 0
Even means g(-x)=g(x)
replace x with -x and see if it simplifies to original functin


g(-x)=(-x-1)²+1
g(-x)=((-1)(x+1))²+1
g(-x)=(x+1)²+1
nope

g(x)=2x²+1
g(-x)=2(-x)²+1
g(-x)=2x²+1
yep

we are done


answer is 2nd one
IrinaVladis [17]3 years ago
8 0

Answer:

2nd Option is correct.

Step-by-step explanation:

We need to find Even function from given functions.

Even function: Even function is a function which hold the following equation.

f(x) = f(-x) for all value of x.

Option 1).

g(x) = ( x - 1 )² + 1 = x² - 2x + 1 + 1 = x² - 2x + 2

put x = -x

g(-x) = (-x)² - 2(-x) + 2 = x² + 2x + 2

Since, g(x) ≠ g(-x)

This is not even function.

Option 2).

g(x) = 2x² + 1

put x = -x

g(-x) = 2(-x)² + 1 = 2x² + 1

Since, g(x) = g(-x)

This is even function.

Option 3).

g(x) = 4x + 2

put x = -x

g(-x) = 4(-x) + 2= -4x + 2

Since, g(x) ≠ g(-x)

This is not even function.

Option 4).

g(x) = 2x

put x = -x

g(-x) = 2(-x) = 2x

Since, g(x) ≠ g(-x)

This is not even function.

Therefore, 2nd Option is correct.

You might be interested in
Let the polynomials A = 7x² + 3xy and B = -3xy .
bija089 [108]

Answer:

– 21x^3 y – 9x^2 y^2 e) is your answer

Step-by-step explanation:

Solve the following system for A and B:

{A = 7 x^2 + 3 x y

B = -3 x y

Express the system in matrix form:

(1 | 0

0 | 1)(A

B) = (7 x^2 + 3 x y

-3 x y)

Write the system in augmented matrix form and use Gaussian elimination:

(1 | 0 | 7 x^2 + 3 x y

0 | 1 | -3 x y)

Collect results:

Answer: {A = 7 x^2 + 3 x y  , B = -3 x y

then we multiply the results (7 x^2 + 3 x y) ( -3 x y) =  – 21x^3 y – 9x^2 y^2

7 0
3 years ago
Which statement correctly identifies the line of reflection?
Alchen [17]

Answer:

the triangles are reflected across the line y= -x

hope this helps

Step-by-step explanation:

4 0
3 years ago
Please help me! Do any one of them, as long as the answer is correct!
quester [9]

Answer:

1.) 1-b, 2-a, 3-d, 4-c

Step-by-step explanation:

You recognize that the point-slope form of the equation for a line with slope m and point (h, k) is ...

... y - k = m(x - h)

____

Match this form to the given equations to determine (h, k). Once you determine (h, k) from the equation, find that point in the list of points to get your match-up. (All the slopes are correct, so you don't need to do any more work than just described.)

_____

For problems 3.) and 4.), use the above form with the given point and slope.

6 0
3 years ago
Jennifer has run many marathons and keeps track of all of her finishing times. At a marathon last month, she finished in 350 min
suter [353]

Answer:

16%

Step-by-step explanation:

406 / 350 = 1.16

406 is 116% of 350

so 350 + 16% is 406

because 350 * 0.16 = 56

56 is 16%

350 + 56 = 406

:)

3 0
3 years ago
12 less than a number is -75 find the number
Minchanka [31]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE DONT GUESS, Thank you
    15·2 answers
  • Yall imma fail if you don't help me. what is the scientific notation for 0.12? I need answers asap
    6·2 answers
  • Suppose you are climbing a hill whose shape is given by the equation z = 900 − 0.005x2 − 0.01y2, where x, y, and z are measured
    15·1 answer
  • Which pair of events is dependent? You get a head and a tail in two coin tosses with two different coins. You get a head and a t
    14·1 answer
  • Ruslan reads 1/3 of a book every day. He needs to read 4 books for class. HOw long would it take him to read 4 books?
    15·1 answer
  • A triangle has a base of 10" and an altitude of 14". What is the area?
    7·1 answer
  • Find the orthocenter for the triangle described by each set of vertices
    11·1 answer
  • find the first fourth and tenth terms of the arithmetic sequence described by the given rule a (n)=5+(n-1)(1/2)
    13·1 answer
  • SUPER EASY! PLEASE HELP, I will mark brainliest
    7·2 answers
  • Abjejwjjdjejwjdhhrigvhhyrwwtiij itessfjhvxx
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!