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4 years ago

What determines whether the graph of an exponential function is increasing or decreasing

1 answer:

6 0

The sign in the exponent: positive->increases, negative->decreases. Think that a negative sign implies 1/exponential and you'll clearly see the reason.

You might be interested in

Given the parent function f(x)=x^3 give the best description of the graph of y=x^3+3 .

umka21 [38]

The correct answer is A. +3, unless inside parentheses, indicates a positive vertical change, thus the function would move upward. If the function looked like 2(x^3 + 3) the change from the +3 would be horizontal (left) instead.

4 0

3 years ago

1.2,3,7.5,18.75, which formula can be used to describe the sequence

elena-14-01-66 [18.8K]

Answer:

$a_{n}=1.2 \times(2.5)^{n-1}$

Step-by-step explanation:

If we observe the given sequence, we find that the ratio of two consecutive terms is the same. i.e.

$\frac{3}{1.2}=2.5\\\\\frac{7.5}{3}=2.5\\\\ \frac{18.75}{7.5}=2.5$

Such a sequence in which the ratio of consecutive terms remain the same is know as Geometric Sequence. Following formula is used to represent a Geometric Sequence:

$a_{n}=a_{1}\times(r)^{n-1}$

Here:

$a_{n}$ is the general term. Using the value of n =1,2,3 ... will give us the term of the sequence.

$a_{1}$ is the first term which is 1.2 in this case.

r represents the common ratio which is 2.5.

Using these values we get:

$a_{n}=1.2 \times(2.5)^{n-1}$

This formula can be used to represent the given sequence.

3 0

4 years ago

Identify the area of ⊙M in terms of π. HELP ASAP!!

Oksi-84 [34.3K]

Answer:

A = 196 pi m^2

Step-by-step explanation:

The area of a circle is given by

A = pi * r^2

The radius is 14

A = pi *14^2

A = 196 pi m^2

6 0

3 years ago

Read 2 more answers

Razzle Shoes bought a 1/2 page ad in the Times. Dazzle Shoes bought two ads that were 1/6 page each. How much more advertising d

Setler79 [48]

Answer:

1/6 more ads.

Step-by-step explanation:

1/2

2/6 is only 1/6 away from 3/6, which is 1/2

6 0

4 years ago

Read 2 more answers

You recently took a statistics exam in a large class. The instructor tells the class that the scores were Normally distributed,

Lunna [17]

Answer:

b. the area to the right of 2

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to the right of Z.

In this problem:

$X = 96, \mu = 72, \sigma = 12$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{96 - 72}{12}$

$Z = 2$

Percentage who did better:

P(Z > 2), which is the area to the right of 2.

5 0

3 years ago