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
Ludmilka [50]
3 years ago
13

Without graphing predict weather the function y= (1/2)x shows exponential growth or decay. Justify your predictions

Mathematics
1 answer:
Alik [6]3 years ago
5 0

Answer:

The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.

Step-by-step explanation:

Exponential equations are usually in the form;

y=ab^{x}

where;

a is the initial value, that is the value of y when x is 0,

b is the growth or decay factor and also the base of the exponential function

If b>1, then it is an exponential growth function and the values of y keep getting bigger.

if 0<b<1, then it is an exponential decay function and the y values keep getting smaller as x increases.

In the function given;

y=(\frac{1}{2})^{x}

The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.

In order to justify our prediction, we can simply obtain the graph of the function and check on how x and y vary.

From the attachment below we can see that the values of y become increasingly smaller as the values of x increases in magnitude which justifies our predictions.

You might be interested in
What does not represent the quotient of 17 divided by 10?
amm1812
17-10= j      i really don't know i just guessed  
7 0
3 years ago
Simplify the ratio 2:10
Tamiku [17]
The answer to this question is 1:5
5 0
3 years ago
Can you help me please?
klemol [59]

Answer:

the answer is true

Step-by-step explanation:

the x values don't repeat themselves so therefore it is a function

6 0
3 years ago
Fill in the table using this function rule
tigry1 [53]
This one isn't too hard, just plug in each value!

x = -1
y = -4(-1) + 3
y = 7

x = 0
y = -4(0) + 3
y = 3

x = 1
y = -4(1) + 3
y = -1

x = 2
y = -4(2) + 3
y = -5
8 0
3 years ago
Read 2 more answers
X = 4. 5x +23x^3 - 360.
Zinaida [17]

Missing: 360 ‎| ‎Must include: ‎360

look at

https://www.google.com/search?q=x+%3D+4.+5x+%2B23x%5E3+-+360&rlz=1CAJAIV_enUS838&oq=x+%3D+4.+5x+%2B23x%5E3+-+360&aqs=chrome..69i57&sourceid=chrome&ie=UTF-8&safe=active&ssui=on

4 0
3 years ago
Read 2 more answers
Other questions:
  • It took 4 hours to drive 240. At this rate,how long does it take to drive 90 miles?
    13·1 answer
  • Evaluate 2d+3 when d=8
    10·2 answers
  • ASAP ANSWER HELP :)
    11·2 answers
  • Every triangle in the figure at right is equilateral. What is the measure of ∠AGE?
    8·1 answer
  • Find the slope of the line that passes through the points (2,4 ) and (6,12)
    13·2 answers
  • To convert a distance of 12000 feet to miles which ratio could you multiply by?
    8·1 answer
  • Determine the intercepts of the line.<br> y-intercept (____,____)<br> x-intercept (____,____)
    15·1 answer
  • Find the volume of this rectangular pyramid.
    11·1 answer
  • Please help it is due today
    10·1 answer
  • Mr. Jones is a geographical scientist. He researches the rise in the carbon dioxide level due to increasing pollution. In 2003,
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!