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
Elina [12.6K]
3 years ago
10

Function f is shown in the table. What type of function is function f?

Mathematics
2 answers:
stepladder [879]3 years ago
6 0

Answer:

It is an exponential function.

Step-by-step explanation:

From the given table it is notices than the vale of y is not increasing at the same rate, therefore the function is not linear.

The value of y increases at the increasing rate, therefore the table may be shows the exponential function.

The general for of exponential function is

y=ab^x

At x=1, y=2.

2=ab^1

2=ab          .... (1)

At x=-1, y=32.

32=ab^{-1}

32=\frac{a}{b}    .... (2)

Multiply equation (1) and (2).

a^2=64

a=8

put this value is equation (1)

8b=2

b=\frac{1}{4}

Therefore the function is

y=8(\frac{1}{4})^x

Now put all values of x one by one. If all the points satisfied by this equation, then the table shows the exponential function.

At x=-6,

y=8(\frac{1}{4})^{-6}=8192

At x=-3,

y=8(\frac{1}{4})^{-3}=512

At x=3,

y=8(\frac{1}{4})^{3}=\frac{1}{8}

Since all the points satisfied by this equation, then the table shows the exponential function.

beks73 [17]3 years ago
4 0
I believe it is neither

You might be interested in
The area of a square bedroom is 144 square feet. what is the length of one wall?
Rufina [12.5K]
The answer is:  "12 feet" .
________________________________
Note:  In a square, the length of EACH of the four sides of the square is the same.

Area = Length * width. 

For a square, length = width.

So for a square, Area = length * width = (length of a side)² = s² ,

Given:  A = s² = 144 ft² ;

Solve for the positive value of "s" .
________________________________
  →  s² = 144 ft² ;  Take the "square root" of each side ;

  → √(s²) = √(144 ft²) ;

  →   s = 12 ft.
_______________________________
The answer is:  12 ft.
_______________________________
6 0
3 years ago
a person being asked what his age was replied that 3/4 of his age multiplied by 1/12 of his age gave a product equal to his age.
Bezzdna [24]

Answer:

0.0625

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Graph the line using a point and a slope. Write the equation of each line.
SpyIntel [72]

Answer:

y=1.2x-3

Step-by-step explanation:

I had this as an rsm problem a few weeks ago and forgot how to solve it lol hope this helps

6 0
3 years ago
IM CONFUSED. WILL GIVE BRANLIEST What is the value of x?
Katen [24]

Answer:

i'd say it's x=6

Step-by-step explanation:

........

5 0
2 years ago
Read 2 more answers
What is the average rate of change for the function f(x)=3x^2 -5 on the interval −3 ≤ x ≤ −1 ?
Anestetic [448]

Answer:

-12

Step-by-step explanation:

Let b = -1 and a = -3

The average rate of change = \frac{f(b) - f(a)}{b - a}

f(b) = f(-1) = 3(-1)^2 - 5 = 3 - 5 = -2

f(a) = f(-3) = 3(-3)^2 - 5 =27 - 5 = 22

f(b) - f(a) = -2 - 22 = -24

b - a = -1 + 3 = 2

\frac{f(b) - f(a)}{b - a} = -24/2 = -12

4 0
3 years ago
Other questions:
  • A number divided by -9 is 16. What is the missing number?
    10·2 answers
  • Square the following numbers 4 6 13 10​
    8·1 answer
  • These two triangles can be shown to be congruent using which transformation?
    9·1 answer
  • What is the smallest number such that when it is divided by 3,5,7 leaving remainder 2 in each case
    14·1 answer
  • Please can anyone help me with this I tried to do it and I got it wrong.
    9·2 answers
  • ​Yesterday, Grace drove 44 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per​ gallon?
    15·2 answers
  • Someone help please need help urgent. Asap please check. I know for sure it’s not C. But just please help
    15·1 answer
  • Wildlife sanctuary has 38 species of birds.
    5·1 answer
  • Helpppppppppppppppppppppppppppppppppppppppppppp
    11·1 answer
  • I WILL MARK BRAINLIEST
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!