1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nadya [2.5K]
2 years ago
6

Determine if the table shows a linear or an exponential function​

Mathematics
2 answers:
VMariaS [17]2 years ago
5 0
Like ya cuttt g..........
____ [38]2 years ago
4 0

Answer:

<em>The table shows an exponential function</em>

Step-by-step explanation:

<u>Linear vs Exponential Functions</u>

A linear function is written as:

y=mx+b

where m and b are constants.

If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.

The slope can be calculated as:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

An exponential function is written as:

y=y_o.r^x

Where r is the ratio and yo is a constant.

If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.

The ratio can be calculated as:

\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}

Calculate the slope for (0,4) and (1,2):

\displaystyle m=\frac{2-4}{1-0}=-2

Calculate the slope for (1,2) and (2,1):

\displaystyle m=\frac{1-2}{2-1}=-1

Since the slope is not the same, the function is not linear.

Now calculate the ratio for (0,4) and (1,2)

\displaystyle r=\sqrt[1-0]{\frac{1}{2}}

The radical of index 1 is simply equal to its argument:

\displaystyle r=\frac{1}{2}

Now calculate the ratio for (0,4) and (2,1)

\displaystyle r=\sqrt[2-0]{\frac{1}{4}}

\displaystyle r=\sqrt{\frac{1}{4}}

\displaystyle r=\frac{1}{2}

Testing other points we'll find the same ratio, thus the table is an exponential function

You might be interested in
Which equation is represented by the graph below?
denpristay [2]

Answer:

D

Step-by-step explanation:

I assume that for C and D, you meant e^x.

Since the function is defined at 0, eliminate A and B (since ln 0 is undefined)

Between C and D, we know that when x=0, e^x = 1. Since the y intercept of the graph is -3, this means the equation is y = e^x - 4.

5 0
1 year ago
Somebody please help me with this question
denis23 [38]

Answer:

c is the correct answer

Step-by-step explanation:

3 0
2 years ago
Say a friend had multiplied 1.2 and 2.6 and got 31.2. would that be the correct answer
VLD [36.1K]
No 1.2 x 2.6 doesn't equal 31.2 it equals 3.12
6 0
3 years ago
Multiplying mixed numbers and whole numbers 1 1/2 x 2/1 =
Nezavi [6.7K]

Answer: 3

Step-by-step explanation:

1. Convert the mixed number to fraction:

- Multiply the denominator of the fraction by the whole number.

- Add the product obtained and the numerator of the fraction.

- Write the sum obtained as the numerator and rewrite the original denominator of the fraction.

Then:

1\ 1/2=\frac{(1)(2)+1}{2}=\frac{3}{2}

2. Multiply the numerators.

3. Multiply the denominator.

4. Reduce the fraction.

Then:

(\frac{3}{2})(\frac{2}{1})=\frac{6}{2}=3

5 0
3 years ago
Frick and frack are surveying the times it takes students to arrive at school from home. There are 2 main groups of commuters wh
noname [10]

Answer:

900

Step-by-step explanation:

divide 4

6 0
3 years ago
Other questions:
  • Find the exact value of sinpi/12
    15·2 answers
  • chatham middle school has 8 seventh grade classes.two of the classes have both band and chorus.what percent of the seventh grade
    5·1 answer
  • How do I write 684297 in word form?
    11·1 answer
  • Meh need some help.Question 2 of 8
    13·2 answers
  • What is another way to write 42 + 63
    8·1 answer
  • Order each set of numbers from least to greatest. 0.23, 19%, 1/5
    6·2 answers
  • 4.9.18
    14·2 answers
  • One day, the outdoor temperature increased by 5/10 degree every hour for 6 hours. How much did the temperature increase by the e
    10·1 answer
  • A carnival charges $5 to get in, plus $2 per ride. Which equation represents the relationship between the number of carnival rid
    8·1 answer
  • Simplify the following by combing like terms.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!