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
Leona [35]
3 years ago
10

Which of the following is an even function?

Mathematics
2 answers:
Kaylis [27]3 years ago
8 0
f(x)\ is\ an\ even\ function\ if\ f(-x)=f(x)\\--------------------\\\\g(x)=(x-1)^2+1=x^2-2x+1+1=x^2-2x+2\\g(-x)=(-x-1)^2+1=x^2+2x+1+1=x^2+2x+2\\g(-x)\neq g(x)\ it's\ not\ an\ even\ function

g(x)=2x^2+1\\g(-x)=2(-x)^2+1=2x^2+1\\g(-x)=g(x)\ it's\ an\ even\ function\\\\\\g(x)=4x+2\\g(-x)=4(-x)+2=-4x+2\\g(-x)\neq g(x)\ it's\ not\ an\ even\ function\\\\\\g(x)=2x\\g(-x)=2(-x)=-2x\\g(-x)\neq g(x)\ it's\ not\ an\ even\ function
abruzzese [7]3 years ago
6 0
Hello,

A function f(x) is even if f(-x)=f(x).

A: (x-1)²+1≠((-x)-1)²+1

B:2x²+1=2(-x)²+1 is even

C:4x+2≠4*(-x)+2

D:2x≠2*(-x)

Answer B



You might be interested in
PLEASE HELP! Answer quickly for points!! There are 5 times as many tomato plants as there are cucumber plants. The number of pep
miskamm [114]
Let x= cucumber plants
5x= tomato plants
6x+7= pepper plants
peppers = 19 
therefore
6x+7=19
subtract 7 from both sides
6x= 12
 divide both sides by 6
x=2
replace the x with 2

2= cucumber plants
10= tomato plants

hope this helps
3 0
3 years ago
Determine the value of the variable. 5 + 17 = J - 14
Nataly_w [17]
You would add 5 and 17 and that would equal 22
Now it would be 22=J-14
Then add 14 on both sides so it cancels out 22 plus 14 is 36
So J would equal 36
3 0
3 years ago
Read 2 more answers
PLEASE HELP !!!! Solve the system using either substitution or elimination: 3x+6y=6 x-5y=23
natta225 [31]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation. Point Form: ( 8 , − 3 ) Equation Form: x = 8 , y = − 3

Follow me on instagram at officialholydrip

3 0
3 years ago
Read 2 more answers
If I was born on January 28, 2004 when will a become 15 and 1/2
Anon25 [30]
I think on January 14
8 0
3 years ago
Match each function formula with the corresponding transformation of the parent function y = (x - 1)2 1. y = - (x - 1)2 Reflecte
lawyer [7]

Answer:

  1. y = -(x-1)² . . . . reflected over the x-axis
  2. y = (x-1)² +1 . . . . translated up by 1 unit
  3. y = (x+1)² . . . . reflected over the y-axis
  4. y = (x-2)² . . . . translated right by 1 unit
  5. y = (x-1)² -3 . . . . translated down by 3 units
  6. y = (x+3)² . . . . translated left by 4 units

Step-by-step explanation:

Since you have studied transformations, you are familiar with the effect of different modifications of the parent function:

  • f(x-a) . . . translates right by "a" units
  • f(x) +a . . . translates up by "a" units
  • a·f(x) . . . vertically scales by a factor of "a". When a < 0, reflects across the x-axis
  • f(ax) . . . horizontally compresses by a factor of "a". When a < 0, reflects across the y-axis.

Note that in the given list of transformed functions, there is one that is (x+1)². This is equivalent to both f(x+2) and to f(-x). The latter is a little harder to see, until we realize that (-x-1)² = (x+1)². That is, this transformed function can be considered to be either a translation of (x-1)² left by 2 units, or a reflection over the y-axis.

8 0
3 years ago
Other questions:
  • ***SOMEONE PLZ HELP ME***
    10·1 answer
  • If tan x=.67, and cos x=.83, what is sin x
    8·1 answer
  • Maggie rides a stationary bike for 2 hours and 15 minutes, 2 days a week. After 6 weeks, how many hours has she spent riding the
    8·1 answer
  • Form 914 M.
    13·1 answer
  • A set of circular cups are placed so that they are touching rim to rim, as close together as possible. It is not possible to fit
    15·1 answer
  • Find the surface area of the triangular prism shown below.<br> 64557
    11·1 answer
  • A jar contains black and white marbles in the ratio 2:5. If the jar contains total of 35 marbles, how many of the marbles are bl
    15·1 answer
  • Two less than five times a number is equal to 10 more than seven times the number. What is the number?
    14·1 answer
  • Pls help need asap in 10 mins stressing out ://
    6·1 answer
  • I have dyscalculia and I hate math. I am absolutely confused about multi step equations with fractions.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!