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Zina [86]
2 years ago
6

Graphs of exponential functions

Mathematics
1 answer:
Valentin [98]2 years ago
8 0

An example of an exponential graph function has been attached and its' properties are as below.

<h3>How to draw the graph of an exponential function?</h3>

The general formula for exponential functions is: f(x) = aˣ, a > 0, a ≠ 1.

The reasons for the restrictions are because;

If a ≤ 0, then when you raise it to a rational power, you may not get a real number.

The graph of an exponential function y = 2ˣ is shown in the attached file. Here are some properties of the exponential function when the base is greater than 1.

  • The graph passes through the point (0,1)
  • The domain is all real numbers
  • The range is y>0.
  • The graph is increasing
  • The graph is asymptotic to the x-axis as x approaches negative infinity
  • The graph increases without bound as x approaches positive infinity
  • The graph is continuous
  • The graph is smooth

Read more about Exponential Function Graphs at; brainly.com/question/2456547

#SPJ1

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(x 2 −10x+2)+(8x+13)
Dimas [21]

Answer:

x^2− 2 + 1 5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Hello can you please help me posted picture of question
Lynna [10]
Total number of people = 10

Number of women = 6

Probability of selecting 1st women = 6/10
Probability of selecting 2nd women = 5/9
Probability of selecting 3rd women = 4/8

Probability that are 3 selected candidates are women = 6/10 x 5/9 x 4/8 = 1/6

So, the correct answer is option A
8 0
4 years ago
What is the formula for the nth term of the given sequence? -17, -8, 1
Citrus2011 [14]

Answer:

The n^{th} term of A.P sequence

tₙ = 9 n - 26

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given sequence

                   - 17 , -8 , 1 .......

first term   = -17

Second term =  - 8

The difference of first two terms

                        d = - 8 -(-17) = -8+17 = <em>9</em>

The difference of next two terms

                        d = 1 - (-8) = 1+8 =   9

∴ The given sequence is  in A.P ( Arthimetic progression)

<u><em>Step(ii):-</em></u>

The n^{th} term of A.P sequence

                t_{n}  = a + ( n-1 ) d

Given a = - 17 and  d = 9

                t_{n}  = -17 + ( n-1 ) 9 = - 17 + 9 n -9 = 9 n - 26

<u><em>Final answer</em></u>:-

The n^{th} term of A.P sequence

tₙ = 9 n - 26

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
The sum of two numbers is 30. If three times the smaller number is equal to two times the bigger one, find the numbers. ​
MAVERICK [17]
  • Let the smaller number be x and the bigger number be y.
  • Therefore, 3x = 2y =  > x =  \frac{2y}{3}x + y = 30 \\  =  >  \frac{2y}{3}  + y = 30 \\  =  >  \frac{2y + 3y}{3}  = 30 \\  =  >  \frac{5y}{3}  = 30 \\  =  > y =  \frac{30 \times 3}{5}  \\  =  > y = 18
  • Therefore, the smaller number = 30 - 18 = 12

<u>Answers:</u>

<u>Answers:The smaller number is 12.</u>

<u>Answers:The smaller number is 12.The bigger number is 18.</u>

Hope you could understand.

If you have any query, feel free to ask

4 0
2 years ago
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