Classify each of the power functions based on their end behavior (increasing or decreasing) as x = ∞[tex] f(x) = - 2 {x}^{2} [/tex][tex]g(x) = (x + 2 {)}^{3} [/tex][tex]h(x) = - 1 +xrac{1}{2} [/tex][tex]j(x) = rac{1}{2} ( - {x})^{5}[/tex]

Mathematics, 10.09.2019 09:10 sanchezgirl513

Classify each of the power functions based on their end behavior (increasing or decreasing) as x = ∞
$f(x) = - 2 {x}^{2}$
$g(x) = (x + 2 {)}^{3}$
$h(x) = - 1 +x\frac{1}{2}$
$j(x) = \frac{1}{2} ( - {x})^{5}$

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Answer from: maren17

right side behavior:

f(x) is Decreasing

g(x) is Increasing

h(x) is Increasing

j(x) is Decreasing

Step-by-step explanation:

The rules for end behavior are based on 2 criteria: Sign of leading coefficient and Degree of polynomial

Sign of leading coefficient (term with greatest exponent):

If sign is positive, then right side is increasingIf sign is negative, then right side is decreasing

Degree of polynomial (greatest exponent of polynomial:

If even, then end behavior is the same from the left and rightIf odd, then end behavior is opposite from the left and right

f(x) = -2x²

Sign is negative so right side is decreasing Degree is even so left side is the same as the right side (decreasing)

as x → +∞, f(x) → +∞ Decreasing

as x → -∞, f(x) → -∞ Decreasing

g(x) = (x + 2)³

Sign is positive so right side is increasing Degree is odd so left side is opposite of the right side (decreasing)

as x → +∞, f(x) → +∞ Increasing

as x → -∞, f(x) → -∞ Decreasing

$h(x)=-1+x^{\frac{1}{2}}\implies h(x)=x^{\frac{1}{2}}-1$

Sign is positive so right side is increasing Degree is an even fraction so left side is opposite of the right side as it approaches the y-intercept (-1)

as x → +∞, f(x) → +∞ Increasing

as x → -∞, f(x) → -1 Decreasing to -1

$j(x)=\dfrac{1}{2}(-x)^5\implies j(x)=\dfrac{1}{2}(-1)^5(x)^5\implies j(x)=-\dfrac{1}{2}x^5$

Sign is negative so right side is decreasing Degree is odd so left side is opposite of the right side (increasing)

as x → +∞, f(x) → +∞ Decreasing

as x → -∞, f(x) → -∞ Increasing

Answer from: Quest

555%=6786666vgggcccf
Which equation can be solved to find x the measure of jk in the diagram?

Answer from: Quest

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

In circle a, bae dae. what is the value of x?

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Classify each of the power functions based on their end behavior (increasing or decreasing) as x = ∞...

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