All categories

2 years ago

Determine whether the function f(x) = 4x3 is even or odd.

Mathematics

2 answers:

nikitadnepr [17]2 years ago

5 0

Answer:

Its the last option.

Step-by-step explanation:

f(x) = 4x^3.

f(-x) =

4(-x)^3 = - 4x^3

so f(x) = = -f(x) so the function is odd.

Annette [7]2 years ago

3 0

Answer:

its D

Step-by-step explanation:

You might be interested in

The scale model of a skyscraper being built is 4.2 feet tall.

Dafna11 [192]

529.2 .......................................

4 0

2 years ago

Kyoko is reading a book by her favorite author. She read the first 20 pages in One-half of an hour. Reading at the same pace, Ky

eduard

Answer:

It will take her 3 hours to read 120 pages.

Step-by-step explanation:

The number of pages read(y) after x hour can be modeled by a linear function in the following format:

$y = ax + b$

In which a is the number of pages read per hour and b is the initial number of pages read.

A straight line goes through (0, 0)

This means that when $x = 0, y = 0$

$y = ax + b$

$0 = a*0 + b$

$b = 0$

(0.5, 20)

When $x = 0.5, y = 20$

$y = ax$

$20 = 0.5a$

$a = \frac{20}{0.5}$

$a = 40$

The function in:

$y(x) = 40x$

According to the graph, which statement must be true?

It will take her 2 hours to read 60 pages.

$y(2) = 40*2 = 80$

Less than 2 hours for 60 pages, so this is false.

It will take her 3 hours to read 120 pages.

$y(3) = 40*3 = 120$

This statement is true.

It will take her 4 hours to read 180 pages.

$y(4) = 40*4 = 160$

More than 4 hours to read 180 pages. So false.

It will take her 5 hours to read 210 pages.

$y(5) = 40*5 = 200$

More than 5 hours to read 210 pages. So false.

6 0

2 years ago

What is the inverse of f(x)=e^x

enot [183]

Answer:

$f^{-1}(x)=\ln{x}$

Step-by-step explanation:

An <em>inverse</em> function is any function that "undoes" another function. If we think of the function $f$ as some kind of machine that takes in a number $x$ as input and produces a number $f(x)$ as an output, when we give inverse function $f^{-1}$ the number $f(x)$ as in input, we get $x$ , our original input, as the output $f^{-1}(x)$

We need a function that undoes $f(x)=e^x$ , and the natural choice for undoing an exponent is with a logarithm. Here, our base is $e$ , so we'll choose $\log_e{x}=\ln{x}$ as our inverse function. Let's see how that works: