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daser333 [38]
2 years ago
14

Which of the following describes the end behavior of f(x) = (1/2)^x

Mathematics
1 answer:
NARA [144]2 years ago
4 0

Answer:

as x approaches infinity, f(x) approaches 0

as x approaches -infinity, f(x) approaches infinity

Step-by-step explanation:

we can observe that 1/2 < 1 and since it's being exponentiated, the f(x) gets smaller and smaller as x gets bigger.

For example, f(0) = 1, f(1) = 1/2, f(2) = 1/4

so, as x approaches an infinitely large number, f(x) gets closer and closer to zero.

this is the opposite as x approaches a negatively large number. following exponential rules, 1/2^(x) = 2^x for all x < 0. therefore as x approaches negative infinity, f(x) approaches infinity.

in this case, f(-1) = 2, f(2) = 4, f(3) = 8

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Halle la ecuación del eje x y la ecuación del eje y, usando dos puntos que se encuentren sobre los mismos.
lisov135 [29]

Una linea recta ( cualquier eje coordenado es una línea recta) queda definida si se conocen dos puntos que están sobre ella.

Solución:

Ecuación del eje x      y = 0

Ecuación del eje y      x = 0

Para darle respuesta a la pregunta podemos seguir el siguiente procedimiento:

  • Escogemos dos puntos arbitrarios sobre el eje x, por ejemplo

P ( 2 ; 0 )  y Q ( 5 ; 0 )         ( todos los puntos sobre el eje x tienen coordenada y = 0.

Según la cual  m = (y₂ - y₁)/ ( x₂ - x₁ )    m = 0

  • Usamos la ecuación pendiente-Intercepto

y = m×x + b         donde m es la pendiente y b el intercepto con el eje y

y entonces tenemos:

  • m = 0    b ( 0 ; 0 )
  • Por sustitución en la ecuación pendiente-intercepto

y = 0

Procediendo de forma similar obtendremos la ecuación del eje y

P´( 0 ; 4 )     Q´( 0 : 8 ) entonces

y = m×x + b

En este caso, la pendiente no es definida ( tang 90° ) y b es de nuevo el punto b ( 0 ; 0).

A partir de  que todos y cada uno de los puntos sobre el eje y son  de valor 0 para x, concluímos que  ecuación del eje y es

x = 0

Enlaces de interés:brainly.com/question/21135669?

8 0
1 year ago
Question 6 (1 point)
alekssr [168]

Answer: i dont know the answer to this qisetion

Step-by-step explanation:

4 0
3 years ago
Write the standard form of the line that passes through the given points (6,1) and (5,4)
Serggg [28]

The standard form:

Ax+By=C

The point-slope form:

y-y_1=m(x-x_1)

m - slope

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (6, 1) and (5, 4). Substitute:

m=\dfrac{4-1}{5-6}=\dfrac{3}{-1}=-3

y-1=-3(x-1)      <em>use distributive property</em>

y-1=-3x+3          <em>add 1 to both sides</em>

y=-3x+4         <em>add 3x to both sides</em>

\boxed{3x+y=4}

7 0
3 years ago
A family paid $26.400 as a down payment for a home. If this represents 16% of the price of the home, find the price of the home.
Vlada [557]
The correct answer is:

How to find X if P percent of it is Y. Use the percentage formula Y/P% = X

Convert the problem to an equation using the percentage formula: Y/P% = X
Y is 26,400, P% is 16%, so the equation is 26,400/16% = X
Convert the percentage to a decimal by dividing by 100.
Converting 16% to a decimal: 16/100 = 0.16
Substitute 0.16 for 16% in the equation: 26,400/0.16 = X
Do the math: 26,400/0.16 = X
X = 165,000
So $ 165,000 is the price of the home.

I hope this helps you!!
7 0
3 years ago
What does it mean to say that a data point has a residual of 1?
aleksandrvk [35]
This your answer hope i helped. :)

<span> The point lies one unit above the regression line. </span>
4 0
3 years ago
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