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
Deffense [45]
2 years ago
15

First you to find the worksheet and download it plase I need help

Mathematics
1 answer:
Goshia [24]2 years ago
7 0

Answer:

a) The horizontal asymptote is y = 0

The y-intercept is (0, 9)

b) The horizontal asymptote is y = 0

The y-intercept is (0, 5)

c) The horizontal asymptote is y = 3

The y-intercept is (0, 4)

d) The horizontal asymptote is y = 3

The y-intercept is (0, 4)

e) The horizontal asymptote is y = -1

The y-intercept is (0, 7)

The x-intercept is (-3, 0)

f) The asymptote is y = 2

The y-intercept is (0, 6)

Step-by-step explanation:

a) f(x) = 3^{x + 2}

The asymptote is given as x → -∞, f(x) = 3^{x + 2} → 0

∴ The horizontal asymptote is f(x) = y = 0

The y-intercept is given when x = 0, we get;

f(x) = 3^{0 + 2} = 9

The y-intercept is f(x) = (0, 9)

b) f(x) = 5^{1  - x}

The asymptote is fx) = 0 as x → ∞

The asymptote is y = 0

Similar to question (1) above, the y-intercept is f(x) = 5^{1  - 0} = 5

The y-intercept is (0, 5)

c) f(x) = 3ˣ + 3

The asymptote is 3ˣ → 0 and f(x) → 3 as x → ∞

The asymptote is y = 3

The y-intercept is f(x) = 3⁰ + 3= 4

The y-intercept is (0, 4)

d) f(x) = 6⁻ˣ + 3

The asymptote is 6⁻ˣ → 0 and f(x) → 3 as x → ∞

The horizontal asymptote is y = 3

The y-intercept is f(x) = 6⁻⁰ + 3 = 4

The y-intercept is (0, 4)

e) f(x) = 2^{x + 3} - 1

The asymptote is 2^{x + 3}  → 0 and f(x) → -1 as x → -∞

The horizontal asymptote is y = -1

The y-intercept is f(x) =  2^{0 + 3} - 1 = 7

The y-intercept is (0, 7)

When f(x) = 0, 2^{x + 3} - 1 = 0

2^{x + 3} = 1

x + 3 = 0, x = -3

The x-intercept is (-3, 0)

f) f(x) = \left (\dfrac{1}{2} \right)^{x - 2} + 2

The asymptote is \left (\dfrac{1}{2} \right)^{x - 2} → 0 and f(x) → 2 as x → ∞

The asymptote is y = 2

The y-intercept is f(x) = f(0) = \left (\dfrac{1}{2} \right)^{0 - 2} + 2 = 6

The y-intercept is (0, 6)

You might be interested in
Solve the equation. Check for extraneous solutions. |x - 4| = 5x + 12<br><br> x = []
kykrilka [37]

The solution of the equation is x = -4/3.

<h3>What does it mean to solve an equation?</h3>

An equation represents equality of two or more mathematical expression.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

WE have been given an equation as;

|x - 4| = 5x + 12

In an absolute value equation, we solve the original expression as our first equation. Our second one is that we multiply the right side by -1.

Case 1: original equation

|x - 4| = 5x + 12

x - 4 = 5x + 12

x - 5x = 12 + 4

-4x = 16

x = -4

Case 2: Opposite equation

|x - 4| = 5x + 12

x - 4 = - (5x + 12)

x - 4 = - 5x - 12

x + 5x = -12 + 4

6x = -8

x = -4/3

Now we have two solutions. We need to check for extraneous solutions because of all the manipulations;

Check:

|x - 4| = 5x + 12

use x = -4

|-4 - 4| = 5(-4) + 12

| -8 | = -20 + 12

8 = -8              

Thus, it is Not a solution

Now,  |x - 4| = 5x + 12

use x =  -4/3

| -4/3 - 4| = 5( -4/3) + 12

|-16/3 | = -20/3 + 12

|-16/3 | = 16/3

16/3 = 16/3

Thus, it is the  Solution.

Learn more about solving equations here:

brainly.com/question/18015090

#SPJ1

5 0
1 year ago
A $525 speaker now sells for 393.75 find the percent of change
asambeis [7]

Answer: The percent of change is 25%

Step-by-step explanation:

$525 - $393.75 = $131.25

131.25 (amount of change)/525 ( original amount) x 100

= 25%

5 0
3 years ago
Help I need help please
s344n2d4d5 [400]

a) Negative correlation

Negative correlation corresponds to points that move down as you go from left to right on the scatter plot.

b) Positive correlation

Positive correlation corresponds to points that move up as you go from left to right on the scatter plot.

c) No correlation

Scattered points on the scatter plot make no relationship.

4 0
3 years ago
Which of the following are true statements about any regular polygon
beks73 [17]

Answer:

need

Step-by-step explanation:

4 0
2 years ago
I need help with this question!
Bumek [7]
A)
A polygon is a closed shape so there must be at least three sides. Therefore, the least value that n can be would be three.

b)
n        value
3          0
n(n-3)/2
3(3-3)/3
3(0)/3
0/3
0

4         2
n(n-3)/2
4(4-3)/2
4(1)/2
4/2
2

5        5
n(n-3)/2
5(5-3)/2
5(2)/2
10/2
5
6 0
3 years ago
Other questions:
  • City scooters charges customers by the minute to rent an electric scooter. Jona rented a scooter for 60 minutes and paid 9 dolla
    7·2 answers
  • The length of a rectangle is twice its width. The perimeter is 60 ft. Find its area.
    14·1 answer
  • 5 1/2 + 5 1/2 + 5 1/2 + 3 cm =
    15·1 answer
  • Evaluate the integral of e^(3x)cos(4x)dx
    15·1 answer
  • What is another way to write x2.x4?
    6·1 answer
  • The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spr
    11·1 answer
  • Solve i 4 = -1<br> true or false
    10·2 answers
  • Suppose the area of a parallelogram is 214.68 mm2. If it's base is 31.6 mm, then its height is ___ mm.
    13·1 answer
  • Plz help 25 pointes plzzzzzzzzzzzzzz
    12·1 answer
  • How many pounds of sugar are in a 15 kg bag of sugar?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!