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
ss7ja [257]
3 years ago
6

Function f is an exponential function. x −1 1 3 5 7 f(x) 14 4 64 1024 16,234 By what factor does the output value increase as ea

ch input value increases by 1? Enter your answer in the box.
Mathematics
1 answer:
Maru [420]3 years ago
4 0

Function f is an exponential function.

x      −1     1     3          5           7

f(x)     14    4   64     1024     16,234

We use exponential function y =ab^x

We find out factor b

When x=1 then y=4, so equation becomes 4=ab^1

When x=3 then y=64, so equation becomes 64=ab^3

Divide the second equation by first equation

\frac{64=ab^3}{4=ab^1}

16 = b^2

Take square root on both sides

So b = +-4

f(x) is increasing, so b= 4

Answer is 4

You might be interested in
How to multiply numbers with exponets and different bases
o-na [289]
When the bases are diffenrent and the exponents of a and b are the same, we can multiply a and b first:
a n ⋅ b n = (a ⋅ b) n
Example:
32 ⋅ 42 = (3⋅4)2 = 122 = 12⋅12 = 144

When the bases and the exponents are different we have to calculate each exponent and then multiply:
a n ⋅ b m
Example:
32 ⋅ 43 = 9 ⋅ 64 = 576
5 0
3 years ago
HELP ASAP , WILL GIVE MOST BRAINIEST
stepladder [879]

The pink is y>2x +4 and the purple is x+y\leq  6 . Have a great day!

4 0
3 years ago
Find the value of each expression.<br>10. |-41|<br>12. -|1.5|<br>​
Valentin [98]

Step-by-step explanation:

10. |-41|= 41

12. -|1.5|= -1.5

3 0
3 years ago
Read 2 more answers
Can someone help me plz??
Brut [27]

Answer:

96π

Step-by-step explanation:

v =  \frac{1}{3}  {r}^{2} h\pi

V=96π

5 0
3 years ago
The mode and median of the data set below have the same value. What is the missing number?
Maru [420]
10 ! (To find the median add the two middle numbers 7,13 = 20 divide 20 by two and you get 10 as your median. Mode means the most common number which means the mode is also 10)
5 0
3 years ago
Other questions:
  • If an orange traffic cone has a diameter of 10 in. and a height of 28 in. what is the volume of the cone?
    13·1 answer
  • Given x=-3, y=6, and z=-4 xz/-2y
    8·2 answers
  • What is the measure of angle B in the triangle?
    8·2 answers
  • HELLPPPPPPPPP WITH THE TOP THREE PLS
    6·1 answer
  • 7TH GRADE MATH NEED ASAP.
    8·2 answers
  • If a person wanted to purchase their dream car, and keep it for many years, should they lease or buy? why?
    7·2 answers
  • 5 out of every 11 children in a school are girls. What is the ratio of girls to boys in the school?
    7·2 answers
  • Log(10) u = 3/2 log(10) 4
    8·1 answer
  • Find the product of 1 2/3 and 1 1/4​
    14·1 answer
  • I'm in 5th grade and need help with and ​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!