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How does $f(t)=2t-3$ change over the interval from $t=2$ to $t=5$ ? $\newline$ $f(t)$ increases by a factor of $3$ $\newline$ $f(t)$ increases by $6$ $\newline$ $f(t)$ decreases by $6$ $\newline$ $f(t)$ decreases by $9$

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Algebra 2

Exponential functions over unit intervals

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More problems from Exponential functions over unit intervals

Question

Solve for

x

\newline

5^x=1

\newline

\newline

Write your answer in simplest form.

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Posted 5 months ago

Question

Steven opened a savings account and deposited

\$100.00

as principal. The account earns

9\%

interest, compounded annually. What is the balance after

5

years?

\newline

Use the formula

A = P(1 + \frac{r}{n})^{nt}

, where

A

is the balance (final amount),

P

is the principal (starting amount),

r

is the interest rate expressed as a decimal,

n

is the number of times per year that the interest is compounded, and

t

is the time in years.

\newline

Round your answer to the nearest cent.

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Posted 4 months ago

Question

Use the following function rule to find

f(1)

\newline

f(x) = 12(7)^x + 8

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Posted 5 months ago

Question

The town of Valley View conducted a census this year, which showed that it has a population of

1,800

people. Based on the census data, it is estimated that the population of Valley View will grow by

12\%

each decade.

\newline

Write an exponential equation in the form

y = a(b)^x

that can model the town population,

y

x

decades after this census was taken.

\newline

Use whole numbers, decimals, or simplified fractions for the values of

a

and

b

\newline

y =

______

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Posted 8 months ago

Question

Solve for

x

\newline

7 = 9^x

\newline

Round your answer to the nearest thousandth.

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Posted 4 months ago

Question

Solve. Round your answer to the nearest thousandth.

\newline

7 = e^x

\newline

x =

____

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Posted 7 months ago

Question

Solve. Simplify your answer.

\newline

\log u = 1

\newline

u =

____

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Posted 9 months ago

Question

Solve. Simplify your answer.

\newline

7\log x = 7

\newline

x =

____

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Posted 7 months ago

Question

How does

g(t) = 3^t

change over the interval from

t = 3

t = 4

\newline

Choices:

\newline

(A)

g(t)

decreases by

3

\newline

(B)

g(t)

increases by

3

\newline

(C)

g(t)

decreases by

3\%

\newline

(D)

g(t)

increases by

200\%

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Posted 4 months ago

Question

A function

f(x)

increases by

6

over every unit interval in

x

and

f(0) = 0

\newline

Which could be a function rule for

f(x)

\newline

Choices:

\newline

(A)

f(x) = 6x

\newline

(B)

f(x) = 6^x

\newline

(C)

f(x) = \frac{1}{6^x}

\newline

(D)

f(x) = \frac{x}{6}

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Posted 4 months ago

View all (10)

How does f(t)=2t−3f(t)=2t-3f(t)=2t−3 change over the interval from t=2t=2t=2 to t=5t=5t=5?\newlinef(t)f(t)f(t) increases by a factor of 333\newlinef(t)f(t)f(t) increases by 666\newlinef(t)f(t)f(t) decreases by 666\newlinef(t)f(t)f(t) decreases by 999

How does $f(t)=2t-3$ change over the interval from $t=2$ to $t=5$ ? $\newline$ $f(t)$ increases by a factor of $3$ $\newline$ $f(t)$ increases by $6$ $\newline$ $f(t)$ decreases by $6$ $\newline$ $f(t)$ decreases by $9$