Ask question

Ask question

All categories

Nadusha1986 [10]

3 years ago

14

If you subtracted 3 from the exponent in an exponential function, what would happen to the graph? A) It would move up 3 B) It wo

uld move down 3 C) It would move to the left 3 D) It would move to the right 3

2 answers:

pantera1 [17]3 years ago

8 0

Answer:

D) It would move to the right 3.

Step-by-step explanation:

Given : If you subtracted 3 from the exponent in an exponential function,

To find : what would happen to the graph

Solution : We have given that exponential function

If we subtract 3 from power of exponent

Let parent function is $e^{x}$

Transformed function is $e^{x-3}$

By the Transformation rule f(x) →→f (x -h) it tell that graph of f(x) would shift right by h unit.

Hence , graph of $e^{x}$ would shift right by 3 unit.

Therefore, D) It would move to the right 3.

kolezko [41]3 years ago

5 0

Answer: The correct answer is D!

Step-by-step explanation:

You might be interested in

What is the slope of a line that is perpendicular to line Y = 1 ?

Alekssandra [29.7K]

Undefined

Rise/ run = slope

1 rise / 0 run = 1/0 which is undefined

8 0

3 years ago

13/19x=130 how do I solve?

Taya2010 [7]

Divide both numbers by 13/90

13/90x = 130
÷13/90 ÷13/90

x= 900

8 0

3 years ago

Read 2 more answers

What is an example of a one step equation that would use multiplication

poizon [28]

Answer:

Multiplication equation 6 t = 54 6t = 54 6t=54 Multiply each side by five.

7 0

3 years ago

An exponential function f(x) is reflected across the x-axis to create the function g(x). Which is a true statement regarding f(x

valentina_108 [34]

That would be the last choice. Opposite meaning different sign

4 0

3 years ago

Read 2 more answers

A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D (x) = 943 - 17 x, where q is the q

Alex73 [517]

Answer:

See expla below

Step-by-step explanation:

Given the demand function:

q = D (x) = 943 - 17 x

a) Find the elasticity:

Find the derivative of the demand function.

D'(x)= -17

Thus, elasticity expression is:

$\frac{x D'(x)}{D'(x)}$

$= \frac{x (-17)}{943 - 17x}$

$= \frac{17x}{943 - 17x}$

Elasticity expression = $E(x) = \frac{17x}{943 - 17x}$

b) At what price is the elasticity of demand equal to 1?

This means E(x) = 1

Substitute 1 for E(x) in the elasticity equation:

$E(x) = \frac{17x}{943 - 17x}$

$1 = \frac{17x}{943 - 17x}$

Cross multiply:

$943 - 17x = 17x$

Collect like terms

$17x + 17x = 943$

$34x = 943$

$x = \frac{943}{34}$

x = 27.74

Elasticity at the price of demand = 1 is 27.74

c) At what prices is the elasticity of demand elastic?

This means E(x) > 1

Therefore,

$\frac{17x}{943 - 17x} > 1$

$\frac{17x}{943 - 17x} > 1$

Cross multiply:

$17x > 943 - 17x$

Collect like terms

$17x + 17x > 943$

$34x > 943$

$x > \frac{943}{34}$

x > 27.74

The elasticity of demand is elastic at x > 27.74

d) At what prices is the elasticity of demand inelastic?

This means E(x) < 1

Therefore,

$\frac{17x}{943 - 17x} < 1$

$\frac{17x}{943 - 17x} < 1$

Cross multiply:

$17x < 943 - 17x$

Collect like terms

$17x + 17x < 943$

$34x < 943$

$x < \frac{943}{34}$

x < 27.74

The elasticity of demand is inelastic at x < 27.74

e) At what price is the revenue a maximum:

Total revenue will be:

R(x) = x D(x)

= x (943 - 17x)

= 943x - 17x²

R(x) = 934 - 17x(price that maximizes total revenue)

Take R(x) = 0

Thus,

0 = 943 - 17x

17x = 943x

$x = \frac{943}{17}$

$x = 27.74$

Total revenue is maximun at x= 27.74 per cookie

f) At x = 21 per cookie, find the price:

Thus,

R (21) = (943 * 21) - (17 * 21²)

= 19803 - 7497

= 12306

At x = 27.74, find the price:

R(27.74) = (943 * 27.74) - (17 - 27.74²)

= 26158.82 - 13081.63

= 13077.19

We can see the new price of cookie causes the total revenue to decrease.

Therefore, with a small increase in price the total revenue will decrease.

5 0

3 years ago