For what values of b will F(x) = logbx be an increasing function?

Mathematics

1 answer:

katrin [286]4 years ago

8 0

A is the only way to go and I have to tell you that this is what the answer is

You might be interested in

Its economics

MakcuM [25]

Step-by-step explanation:

progressive tax

federal income tax

local income tax

medicare tax

Local income tax

Aysn na po sana nakatulong po!!

5 0

3 years ago

Read 2 more answers

What four number equal 100

Vedmedyk [2.9K]

40 + 30 + 15 + 5 + 6 + 4 = 100

6 0

3 years ago

Read 2 more answers

Use the Rational Zero Theorem to list all possible rational zeros for the given function. f(x) = 10x^5 + 8x^4 - 15x^3 +2x^2 - 2

vagabundo [1.1K]

Given:

The function is:

$f(x)=10x^5+8x^4-15x^3+2x^2-2$

To find:

All the possible rational zeros for the given function by using the Rational Zero Theorem.

Solution:

According to the rational root theorem, all the rational roots are of the form $\dfrac{p}{q},q\neq 0$ , where p is a factor of constant term and q is a factor of leading coefficient.

We have,

$f(x)=10x^5+8x^4-15x^3+2x^2-2$

Here,

Constant term = -2

Leading coefficient = 10

Factors of -2 are ±1, ±2.

Factors of 10 are ±1, ±2, ±5, ±10.

Using the rational root theorem, all the possible rational roots are:

$x=\pm 1,\pm 2,\pm \dfrac{1}{2}, \pm \dfrac{1}{5},\pm \dfrac{2}{5},\pm \dfrac{1}{10}$ .

Therefore, all the possible rational roots of the given function are $\pm 1,\pm 2,\pm \dfrac{1}{2}, \pm \dfrac{1}{5},\pm \dfrac{2}{5},\pm \dfrac{1}{10}$ .