All categories

4 years ago

Which characteristic is correct for the function f(x)=4x^5+8x+2

Mathematics

1 answer:

Westkost [7]4 years ago

7 0

Answer:

neither even not odd

Step-by-step explanation:

A function is odd if and only if y=f(x) is the same as y=-f(-x). Also a function is said to be even if and only if y=f(x) is the same as y=f(-x).

given our function f(x)=4x^5+8x+2

-f(-x)=-(4(-x)^5+8(-x)+2)

=4x^5+8x-2

also,

f(-x)=4(-x)^5+8(-x)+2

=-4x^5-8x+2

from the above we see that f(x) ≠ -f(-x) and also f(x) ≠ f(-x). We therefore conclude that the function is neither even not odd

You might be interested in

Can someone please help me

pentagon [3]

V = Volume of cylinder
B = area of base
h = height of cylinder

It turns out that
V = B*h
In a similar way to that of a cube

If we know that V = 84pi and h = 7, then we can plug those values into the formula above, and solve for B

V = B*h
84pi = B*7
84pi/7 = B*7/7 ... divide both sides by 7
12pi = B
B = 12pi

Therefore the base is 12pi square units

6 0

3 years ago

Please tell me this, please! ASAP!

PtichkaEL [24]

Answer:

a) C = 250 + 1.25n

b) 1800

c) 300

Step-by-step explanation:

a) To write the equation for these problems, let's establish the constant, $250, since we are given that $250 is a FIXED cost, meaning no matter how many brochures we print, we will have to pay $250. Then, we have to pay $1.25 for each brochure, so for n amount of brochures, so we have 1.25*n. Putting it together, we have the fixed cost + the cost of producing n brochures, C = 250 + 1.25C

b) The cost of printing 2500 brochures can be found by pluggin number into the equation above. C = 250 + 1.25*2500 = $1800

c) This is the opposite question, since 625 is the final cost, we plug it into the final cost, 625 = 250 + 1.25*n. Solving gives n = 300

8 0

2 years ago

Explain why 1/12+ 1/12+ 1/12is the same as 1/4.

Zigmanuir [339]

Answer:

1/4 = 3/12 = 1/12+1/12+1/12

Step-by-step explanation:

Because 1/4 equals 3/12.

6 0

3 years ago

Write the x-intercept of the graph of -6x + y = 8.

Trava [24]

Answer:

x-intercept: x = -4/3

Step-by-step explanation:

x-intercept when y = 0

-6x + 0 = 8

-6x = 8

x = 8/-6

x = -4/3

6 0

3 years ago

Washing his dad's car alone, eight-year-old Levi takes 2.5 hours. If his dad helps him, then it takes 1 hour. How long does it t

Dmitry [639]

Answer:

Levi's dad takes 1.67 hours to wash the car by himself

Step-by-step explanation:

* Lets explain how to solve the problem

- Levi takes 2.5 hours to wash his dad's car alone

- Levi and his dad take 1 hour to wash the dad's car together

∵ Levi takes 2.5 hours to wash the car alone

∴ The rate of Levi is 1/2.5 car/hr

∵ His dad takes x hours to wash the car alone

∴ The rate of his dad is 1/x car/hr

∵ They working together for 1 hour to wash the car

- The equation of the work is rate of Levi × t + rate of his dad × t = 1

∵ t is the time of working together

∵ t = 1 hour

∴ $\frac{1}{2.5}(1)+\frac{1}{x}(1)=1========\frac{1}{2.5}+\frac{1}{x}=1$

- Multiply both sides by 2.5x to cancel the denominators

∵ $\frac{1}{2.5}(2.5x)=x=====\frac{1}{x}(2.5x)=2.5$

∵ 1 × (2.5x) = 2.5x

∴ x + 2.5 = 2.5x

- Subtract x from both sides

∴ 2.5 = 1.5x

- Divide both sides by 1.5

∴ x = 5/3 ≅ 1.67

∵ x is the the time of his dad to wash the car alone

∴ Levi's dad takes 1.67 hours to wash the car by himself

3 0

3 years ago

Read 2 more answers