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2 years ago

Domain and range of a function in an entire graph

Mathematics

1 answer:

RideAnS [48]2 years ago

4 0

Answer:

Definition of the domain and range

The domain is all x-values or inputs of a function and the range is all y-values or outputs of a function. When looking at a graph, the domain is all the values of the graph from left to right. The range is all the values of the graph from down to up.

Step-by-step explanation:

I hope this can h help you

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Draw an angle with the given measure in standard position.

ICE Princess25 [194]

Answer: see graphs

<u>Step-by-step explanation:</u>

start at the origin and draw an arrow...

2) 60° counterclockwise = 60°

3) 135° clockwise (360 - 135) = 225°

4) one full ring counterclockwise plus (450 - 360) = 90°

5) three full rings clockwise plus (360(4) - 1125) = 315°

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3 years ago

What is the answer for number 1?

Flura [38]

Answer:

28.26

Step-by-step explanation:

A = pie x radius*2

The radius is 3, and pie is 3.14. This means the equation is

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3 years ago

Calculate y as a function of x when dy/dx = 4x3 + 3x2 - 6x + 5

PtichkaEL [24]

Answer:
y = x⁴ + x³ - 3x² + 5x + C

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Separable differential equations such as these ones can be solved by treating dy/dx as a ratio of differentials. Then move the dx with all the x terms and move the dy with all the y terms. After that, integrate both sides of the equation.

$\begin{aligned}
\dfrac{dy}{dx} &= 4x^3 + 3x^2 - 6x + 5 \\
dy &= (4x^3 + 3x^2 - 6x + 5) dx \\
\int dy &= \int (4x^3 + 3x^2 - 6x + 5) dx 
\end{aligned}$

In general (understood that +C portions are still there),

$\int x^{m} = \dfrac{x^{m+1}}{m+1}$

Note that ∫dy = y since it is ∫1·dy = ∫y⁰ dy = y¹/(0+1) = y
For the right-hand side, we use the sum/difference rule for integrals, which says that

$\int \big[f(x) \pm g(x)\big]\, dx = \int f(x)\,dx \pm \int g(x) \, dx$

Applying these concepts:

$\begin{aligned} 
 \int dy &= \int (4x^3 + 3x^2 - 6x + 5) \, dx \\
y &= \int 4x^3\,dx + \int 3x^2 \, dx - \int 6x\, dx + \int 5\, dx \\
&= \frac{4x^4}{4} + \frac{3x^3}{3} - \frac{6x^2}{2} + 5x + C \qquad \text{(only one $C$ is needed)} \\
&= x^4 + x^3 - 3x^2 + 5x + C
\end{aligned}$

The answer is y = x⁴ + x³ - 3x² + 5x + C

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3 years ago

7.9 is what percent of 8? Round to the nearest tenth.

AfilCa [17]

Answer:

98.75

Step-by-step explanation:

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6 0

3 years ago

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