The input to an exponential function is the exponent.

QUESTION POSTED AT 19/08/2019 - 05:55 PM

Answered by answersmine AT 19/08/2019 - 05:55 PM

The input to an exponential function is the initial value of the variable.
Post your answer

Related questions

Following the order of operations, exponents should be simplified after completing all multiplication and division. True False well PEMDAS ^ its 2nd in line... i dont understand what they mean

Unless the exponet is on the outside of a parentheses then the exponet should be done first.

Example

(5x5)^2 - Inside the parentheses should be done first
and it ends up being - 625

But if the exponet is on the inside

(5x5^2) Then do the math for the exponet first
Then it becomes - 125


ANSWERED AT 23/09/2019 - 04:25 AM


QUESTION POSTED AT 23/09/2019 - 04:25 AM

You want to take a two-hour airboat tour. it costs $35 for a boarding fee and $5 every 1/2 hour. Write a function that represents the cost G of a tour at Gator Tours for h hours.

Answer:

G(h) = 10h+35

Step-by-step explanation:

Here, h be the hour and G represents the total cost of a tour.

As per the statement:

Using slope-intercept form:

y=mx+b

b is the initial value and m is the slope or rate.

You want to take a two-hour air boat tour. it costs $35 for a boarding fee and $5 every 1/2 hour.

Initially the cost of tour = $35

⇒b = 35

for every 1/2=0.5 hour = $5

for h hours = \frac{5h}{0.5} = 10h

⇒Total cost for h hours is given by:

G(h) = 10h+35

Therefore, a function that represents the cost G of a tour at Gator Tours for h hours is, G(h) = 10h+35

ANSWERED AT 23/09/2019 - 04:19 AM


QUESTION POSTED AT 23/09/2019 - 04:19 AM

A dolphin eats 30 pounds of fish per day. Write and graph a function that relates the number of pounds p of fish that a dolphin eats in d days.

Answer: p=30d


Step-by-step explanation:

Given: The number of pounds p of fish that a dolphin eats in d days.

Since, A dolphin eats 30 pounds of fish per day.

Then the total number of pounds fish eaten by dolphin=30 times number of days.

Thus, p=30\times d\\\Rightarrow\ p=30d

To plot graph, we need to find to points that lie on the graph of function.

At d=0, p=0

At d=1, p=30

Then we have points = (0,0) and (1,30), draw a line from it.


ANSWERED AT 23/09/2019 - 04:16 AM


QUESTION POSTED AT 23/09/2019 - 04:16 AM

The output is three less than the input.

The output=x-3

y=x-3

If the output is 3 less than the input, then to find the output, you would have to subtract 3 from the input.

Therefore,
y (output) = x (input) -3

y=x-3

Hoped this helped! Tell me if you want me to explain it differently or if you need any more help!

ANSWERED AT 23/09/2019 - 04:14 AM


QUESTION POSTED AT 23/09/2019 - 04:14 AM

Find the inverse function of h(x) = - 2/3x + 6.

Answer:

y = -\frac{3}{2} x - 9

Step-by-step explanation:

The given function h(x) = -\frac{2}{3} x + 6

To find the inverse function, we have to do the following steps:

Step 1: Replace h(x) by "x" and "x" by "y"

x = -\frac{2}{3} y + 6

Step 2: Write the function y interms of x.

Subtract 6 from both sides, we get

x - 6 = -\frac{2}{3} y + 6 - 6

x - 6 = -\frac{2}{3} y

Multiply both sides by the reciprocal of -2/3.

The reciprocal of -2/3 is -3/2.

-\frac{3}{2} (x - 6) = -\frac{3}{2} *-\frac{2}{3} *y

y = -\frac{3}{2} x -\frac{3}{2} *6

y = -\frac{3}{2} x - 9

The inverse function y = -\frac{3}{2} x - 9

ANSWERED AT 23/09/2019 - 04:10 AM


QUESTION POSTED AT 23/09/2019 - 04:10 AM

One way to remember that polynomial functions and exponential functions are different is to contrast the polynomial function y=x^2 and the exponential function y=2x. tell at least three ways they are different

A polynomial function is a relation between one variable to another variable with some restrictions to limit its behavior. In simpler terms, a polynomial function is simply a subset of functions altogether. Polynomial functions are special in that they contain zero discontinuities in their behavior, have distinct  features have end behaviors that approach infinity. These functions are excellent for demonstrating real life situations, such as banking trends.

ANSWERED AT 23/09/2019 - 04:06 AM


QUESTION POSTED AT 23/09/2019 - 04:06 AM

How can linear equations and functions be written and graphed? Explain how shifting the graph changes the function.

Linear equations are written as y = C1x + C2 where C1 & C2 are constants. They are graphed by plugging in numbers for y or x and solve for the other. For example if you have an equation y = 3x + 6 you then for y = 1 you have 1 = 3x + 6 -> x = -5/3 you then take the two coordinates (-5/3,1) and plot the point do this for further numbers and connect the points with a straight line. Shifting the graph up or down will change the value of C2 and shifting the graph left or right will change C1.

ANSWERED AT 23/09/2019 - 04:00 AM


QUESTION POSTED AT 23/09/2019 - 04:00 AM

A function assigns the inputs and corresponding outputs shown in the table below

I can't see the last set and can u plz clarify what u need

ANSWERED AT 23/09/2019 - 03:46 AM


QUESTION POSTED AT 23/09/2019 - 03:46 AM

How do you do math Functions on a graph like this??

You graph them the way you would graph on a ordinary grid.

ANSWERED AT 23/09/2019 - 03:46 AM


QUESTION POSTED AT 23/09/2019 - 03:45 AM

What is the linear factorization of the function F(x) = 5x^3 + 5x ?

5x^3 + 5x = 5x(x^2 + 1)

ANSWERED AT 23/09/2019 - 03:43 AM


QUESTION POSTED AT 23/09/2019 - 03:43 AM

How to graph the function y=x/4?

Start at 0,0 and go up on over 4 and keep going and do it both ways 
until you run out of room

ANSWERED AT 23/09/2019 - 03:42 AM


QUESTION POSTED AT 23/09/2019 - 03:42 AM

What is the domain of the function f(x)=1/(x-3)?

Domain means the numbers you can use (basically, all real numbers except for those that make undefined stuff, like dividing by zero or having square root of negative)

ok so
1/(x-3)
no sqare roots so
find what numbers make divion by 0
1/(x-3)
1/0=1/(x-3)
0=x-3
3=x
3 makes a division by 0
3 is not allowed


domain is all real numbers except for 0

ANSWERED AT 23/09/2019 - 03:41 AM


QUESTION POSTED AT 23/09/2019 - 03:41 AM

Use the vertical line to determine if the relation {(-6,-2),(-2,6),(0,3),(3,5)} is a function explain your reasoning

All of your points have different y values, -2, 6, 3, 5. This would mean that it passes the vertical line test and is a function because there is only one x value for all y values.

ANSWERED AT 23/09/2019 - 03:34 AM


QUESTION POSTED AT 23/09/2019 - 03:34 AM

Evaluate the function T(x) = 19-x, when x=-3

So T(x) is another way to say y = 

y = 19-(-3)

y = 19 + 3       When you subtract a negative, it is the same as adding a positive

y = 22
--or--
T(-3) = 22

ANSWERED AT 23/09/2019 - 03:31 AM


QUESTION POSTED AT 23/09/2019 - 03:31 AM

Find the output for each input of y = -2x.

The persons right it's The first one

ANSWERED AT 23/09/2019 - 03:29 AM


QUESTION POSTED AT 23/09/2019 - 03:29 AM

A store had 175 cell phones in the month of January. Every month, 10% of the cell phones were sold and 10 new cell phones were stocked in the store. Which recursive function best represents the number of cell phones in the store f(n) after n months? f(n) = 175 − 0.9 × f(n − 1) + 10, f(0) = 175, n > 0 f(n) = 0.1 × f(n − 1) + 10, f(0) = 175, n > 0 f(n) = 175 + 0.9 × f(n − 1) + 10, f(0) = 175, n > 0 f(n) = 0.9 × f(n − 1) + 10, f(0) = 175, n > 0 99 POINTS

Answer:

f(n)=0.9\times f(n-1)+10, f(0) = 175, n > 0

Step-by-step explanation:

Given :

A store had 175 cell phones in the month of January.

Every month, 10% of the cell phones were sold and 10 new cell phones were stocked in the store.  

To Find:

Which recursive function best represents the number of cell phones in the store f(n) after n months?

Solution:

Let n be the number of months  

So, when n=0

f(0)=175

Now, after 1 month i.e. At n=1

Now we are given that Every month, 10% of the cell phones were sold and 10 new cell phones were stocked in the store.

The number of cell phone in store after 1 month =

175-10\%\ of\ 175+10

Thus  f(1)=f(0)-10\%\ of\ f(0)+10

f(1)=f(0)-0.1\times f(0)+10

f(1) =f(0)(1-0.1)+10

f(1) =f(0)(0.9)+10

Similarly we can do till n months,Thus , we get

f(n)=0.9\times f(n-1)+10, f(0) = 175, n > 0

Hence Option 4 is correct.

ANSWERED AT 23/09/2019 - 03:18 AM


QUESTION POSTED AT 23/09/2019 - 03:18 AM

Rewrite the expression with positive exponents (problem #4)

Having a negative exponent is the same as have the inverse of the exponent

x⁻² = 1 / x²

Plugging in the Numbers,

(12a^3b^-4)/ (4a^-2b)


This is the Answer

12a^3(4a^2)/(3b^5)

ANSWERED AT 23/09/2019 - 03:17 AM


QUESTION POSTED AT 23/09/2019 - 03:17 AM

Write an expression that equals 56 include a n exponent

10^8x7 I think I'm way off but srry if its wrong

ANSWERED AT 23/09/2019 - 03:14 AM


QUESTION POSTED AT 23/09/2019 - 03:14 AM

What is the slope-intercept form of the function that contains the point (3, 4) and has a slope of 2? y = x +

If you have a point and a slope then the formula looks like this,

Y=2x + b through point (3,4)

replace the "Y" and "X" in the equation with the numbers on the point. (put the x coordinate for the X and the Y coordinate for the Y) 

message me for further help but try to figure it out on your own :)



ANSWERED AT 23/09/2019 - 03:07 AM


QUESTION POSTED AT 23/09/2019 - 03:07 AM

What is the average rate of change of the function f(x)=480(0.3)× from x=1 to x=5

Answer:

The average rate of change(A(x)) of a function f(x) from a to b as;

A(x) = \frac{f(b)-f(a)}{b-a}

Given the function: f(x) = 480(0.3)^x

For x =1 ,

f(x) = 480(0.3)^1 = 480\cdot 0.3 = 144

and for x=5

f(x) =480(0.3)^5 = 480 \cdot 0.00243= 1.1664

then;

the average rate of change of a function A(x)= \frac{f(5)-f(1)}{5-1} or

A(x) =\frac{1.1664-144}{4}= \frac{-142.8336}{4}= -35.7084

Therefore, the average rate of change of the given function from x=1 to x=5 is; -35.7084


ANSWERED AT 23/09/2019 - 02:57 AM


QUESTION POSTED AT 23/09/2019 - 02:57 AM