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3 years ago

Does the table represent an exponential function?

2 answers:

6 0

Yes it does represent an exponential function

if you put the table into a graphing calculator it will show as an exponential function

desmos is a free one online

NeX [460]3 years ago

4 0

No, the table represents an exponential function. The function is $\boxed{f\left( x \right) = - {{\left( x \right)}^3}}.$

Further explanation:

The linear equation with slope m and intercept c is given as follows.

$\boxed{y = mx + c}$

The standard form of the linear equation can be expressed as follows,

$\boxed{ax + by = c}$

Given:

The values of x are $1, 2, 3$ and $4$ .

The values of y are $-1, -8, -27$ and $-64.$

Explanation:

The general form of exponential function can be expressed as follows,

$f\left( x \right) = a{b^x}$

The points are $\left( {1, - 1} \right),{\text{ }}\left( {2, - 8} \right),{\text{ }}\left( {3, - 27} \right){\text{ and }}\left( {4, - 64} \right).$

The function for the given points can be expressed as follows,

$f\left( x \right) = - {\left( x \right)^3}$

No the table represents an exponential function. The function is $\boxed{f\left( x \right) = - {{\left( x \right)}^3}}.$

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Exponentialfunction

Keywords: numbers, standard form, point slope form, exponential function,slope, slope intercept, inequality, equation.

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Geologists estimate the time since the most recent cooling of a mineral by counting the number of uranium fission tracks on the

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Answer:

(a) The value of P (X = 7) is 0.1388.

(b) The value of P (X ≥ 3) is 0.9380.

(d) $\mu_{X}=6$

(e) $\sigma_{X}=2.45$

Step-by-step explanation:

Let X = number of uranium fission tracks on per cm² surface area of the mineral.

The average number of track per cm² surface area is, λ = 6.

The random variable X follows a Poisson distribution with parameter λ = 6.

The probability mass function of a Poisson distribution is:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0, 1, 2, 3...$

(a)

Compute the value of P (X = 7) as follows:

$P(X=6)=\frac{e^{-6}(6)^{7}}{7!}=\frac{0.0025\times 279936}{5040}=0.1388$

Thus, the value of P (X = 7) is 0.1388.

(b)

Compute the value of P (X ≥ 3) as follows:

P (X ≥ 3) = 1 - P (X < 3)

= 1 - P (X = 0) - P (X = 1) - P (X = 2)

$=1-\frac{e^{-6}(6)^{0}}{0!}-\frac{e^{-6}(6)^{1}}{1!}-\frac{e^{-6}(6)^{2}}{2!}\\=1-0.00248-0.01487-0.04462\\=0.93803\\\approx0.9380$

Thus, the value of P (X ≥ 3) is 0.9380.

(c)

Compute the value of P (2 < X < 7) as follows:

P (2 < X < 7) = P (X = 3) + P (X = 4) + P (X = 5) + P (X = 6)

$=\frac{e^{-6}(6)^{3}}{3!}+\frac{e^{-6}(6)^{4}}{4!}+\frac{e^{-6}(6)^{5}}{5!}+\frac{e^{-6}(6)^{6}}{6!}\\=0.08924+0.13385+0.16062+0.16062\\=0.54433\\\approx0.5443$