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Dafna11 [192]
1 year ago
11

Classify the following functions as growth or decay: f(x) = 10 (6/7)^x, g(x)= 1/3e^x, h(x)=5e^-x, k(x)= -10(6/7)^x

Mathematics
1 answer:
Strike441 [17]1 year ago
8 0

It is known that any exponential function with the form f(x)=a^x is an increasing function while a function of the form g(x)=a^(-x) is a decreasing function.

Furthermore, it a function h(x) is increasing, then the function -h(x) is decreasing. By analogy, if a function k(x) is decreasing, then -k(x) is increasing.

Now let's analyze the functions from the problem.

\text{ Let }f(x)=10\cdot(\frac{6}{7})^x

Since (6/7)^x is increasing and the multiplying factor of 10 is positive, then the function <em>f(x)</em> is also increasing.

Use these rules to find whether each function is increasing or decreasing.

Remember that increasing functions are used to represent growth while decreasing functions are used to represent decay.

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Please help, photo attached.
steposvetlana [31]

The zeroes of the polynomial functions are as follows:

  • For the polynomial, f(x) = 2x(x - 3)(2 - x), the zeroes are 3, 2
  • For the polynomial, f(x) = 2(x - 3)²(x + 3)(x + 1), the zeroes are 3, - 3, and -1
  • For the polynomial, f(x) = x³(x + 2)(x - 1), the zeroes are -2, and 1

<h3>What are the zeroes of a polynomial?</h3>

The zeroes of a polynomial are the vales of the variable which makes the value of the polynomial to be zero.

The polynomials are given as follows:

f(x) = 2x(x - 3)(2 - x)

f(x) = 2(x - 3)²(x + 3)(x + 1)

f(x) = x³(x + 2)(x - 1)

For the polynomial, f(x) = 2x(x - 3)(2 - x), the zeroes are 3, 2

For the polynomial, f(x) = 2(x - 3)²(x + 3)(x + 1), the zeroes are 3, - 3, and -1

For the polynomial, f(x) = x³(x + 2)(x - 1), the zeroes are -2, and 1

In conclusion, the zeroes of a polynomial will make the value of the polynomial function to be zero.

Learn more about polynomials at: brainly.com/question/2833285

#SPJ1

5 0
1 year ago
Write a division number story with an answer of 1/4​
Rasek [7]

Answer:

Once upon a time I had 4 candies. there were 4 kids to share to (including me). what fraction of the candies does each child get

Step-by-step explanation:

4÷4=1

1/4

7 0
3 years ago
Read 2 more answers
Assume that Emily (who has CF, a recessive disease (aa)) decides to have children with a man who does not have CF and who has no
alukav5142 [94]

Answer:100%. Probability

Step-by-step explanation:

Emily = aa

Man = AA

After crossing the two, the result wI'll be Aa, Aa, Aa, Aa

Since every result has a carrier(a) in it, makes it 100% probability.

7 0
3 years ago
As an estimation, we are told £3 is €4.
cluponka [151]

Answer:22.78 to 2dp

Step-by-step explanation:

91.10 euros divide by 4 =22.775

=22.78 to 2dp

8 0
3 years ago
What is the approximation for the area of this circle? Use 3.14 to approximate pi. 12.6m 25.1m 50.2m 158.0m
Semenov [28]

Answer:

You times pi by the diameter

first set of answers are

1. 5.1

2 56.5

3 25.1

4 34.5

5 9.4

You times pi by r^2

second set of answers are

1 28.3

2 254.3

3 78.5

4 50.2

5 30.2

8 0
3 years ago
Read 2 more answers
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