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maks197457 [2]
2 years ago
10

Which is the graph of a logarithmic function?

Mathematics
1 answer:
Reika [66]2 years ago
5 0

The domain and range of the graph of a logarithmic function are;

  • Domain; 0 < x < +∞

  • Range; The set of real numbers.

<h3>How can the graph that correctly represents a logarithmic function be selected?</h3>

The basic equation of a logarithmic function can be presented in the form;

y =  log_{b}(x)

Where;

b > 0, and b ≠ 1, given that we have;

y =  log_{1}(x)

{1}^{y}  = 1

The inverse of the logarithmic function is the exponential function presented as follows;

x =  {b}^{y}

Given that <em>b</em> > 0, we have;

{b}^{y}  = x > 0

Therefore, the graph of a logarithmic function has only positive x-values

The graph of a logarithmic function is one with a domain and range defined as follows;

Domain; 0 < x < +∞

Range; -∞ < y < +∞, which is the set of real numbers.

The correct option therefore has a domain as <em>x </em>> 0 and range as the set of all real numbers.

Learn more about finding the graphs of logarithmic functions here:

brainly.com/question/13473114

#SPJ1

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Step-by-step explanation:

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3 years ago
M is the incenter of triangle ABC. Find the lengths of MD and DC. (Look at pic)
Deffense [45]

Answer:

Part 1) MD=9\ units

Part 2) DC=12\ units

Step-by-step explanation:

Step 1

Find the length of MD

we know that

The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle

so

In this problem

MD=ME=MF ------> is the radius of a circle inscribed inside the triangle

we have that

MF=9\ units

therefore

ME=9\ units

MD=9\ units

Step 2

Find the length of DC

we know that

In the right triangle MDC

Applying the Pythagoras theorem

MC^{2} =MD^{2}+DC^{2}

we have

MD=9\ units

MC=15\ units

substitute

15^{2} =9^{2}+DC^{2}

DC^{2}=225-81

DC=\sqrt{144}\ units

DC=12\ units

6 0
3 years ago
Describe the graph of the function y= square root of x-7+3
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Answer:

Step-by-step explanation:

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right 7 units

up 3 units

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3 years ago
Emily is entering a bicycle race for charity. Her mother pledges $0.80 for every 0.25 mile she bikes. If Emily bikes 5 miles, ho
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A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown.
zhuklara [117]

Answer:

The surface area of the figure is 96 + 64π ⇒ 1st answer

Step-by-step explanation:

* Lats revise how to find the surface area of the cylinder

- The surface area = lateral area + 2 × area of one base

- The lateral area = perimeter of the base × its height

* Lets solve the problem

- The figure is have cylinder

- Its diameter = 8 cm

∴ Its radius = 8 ÷ 2 = 4 cm

- Its height = 12 cm

∵ The perimeter of the semi-circle = πr

∴ The perimeter of the base = 4π cm

∵ The area of semi-circle = 1/2 πr²

∴ The area of the base = 1/2 × π × 4² = 8π cm²

* Now lets find the surface area of the half-cylinder

- SA = lateral area + 2 × area of one base + the rectangular face

∵ LA = perimeter of base × its height

∴ LA = 4π × 12 = 48π cm²

∵ The dimensions of the rectangular face are the diameter and the

   height of the cylinder

∴ The area of the rectangular face = 8 × 12 = 96 cm²

∵ The area of the two bases = 2 × 8π = 16π cm²

∴ SA = 48π + 16π + 96 = 64π + 96 cm²

* The surface area of the figure is 96 + 64π

5 0
3 years ago
Read 2 more answers
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