What effects does adding a constant have to an exponential function?

1 answer:

5 0

It depends where you introduce constant

Exponential function: f(x) = e^x

y = e^x + c ----> shift function up c units
y = e^(x−c) ----> shift function right c units
y = e^(cx) ------> dilates function horizontally by factor of 1/c
y = c e^x -------> dilates function vertically by factor of c

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slavikrds [6]

Answer:

Step-by-step explanation:

Using Simple Random Sampling, we can estimate the sample size by the formula

$\bf n=\frac{Z^2S^2}{e^2}$

where

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S = the assumed standard deviation = 3 seconds

e = margin of error = 2 seconds

It is worth noticing that the higher the confidence level, the larger the sample should be.

The z-score corresponding to a confidence level of 99.5% can be obtained either with a table or the computer and equals

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$\bf n=\frac{(3.023)^23^2}{2^2}=20.5616\approx 21$

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Step-by-step explanation:

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Write the general polynomial p(x) if its only zeros are 1 4 and -3 with multiplicites 3 2 and 1 respectively what is the degree

kompoz [17]

Answer:

The 6th degree polynomial is $p(x) = (x-1)^3(x-4)^2(x+3)$

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots $x_{1}, x_{2}, x_{n}$ such that it can be written as: $a(x - x_{1})*(x - x_{2})*...*(x-x_n)$ , in which a is the leading coefficient.