Please need help on this

Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.

f(x)=10²+5
find f(2) and f(-2)
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Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.

5y+4x=41

(5,4) or (4,5)
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Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.

2y+8x=24
(1,-2) and (0,4)
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Solve:

Y= 2x^3-5
((2,-1) (4,-5)
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Problem #1
For f(x)=-6x3+10
find f(4) and f(-4)


Problem #2
For g(x)=20-5x2
find f(1) and f(-1)
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Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.
y=x^3-30
evaluate if either of these sets is a solution:
(4,34) (5,90)
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Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.
y=16-x³ (-2,4), (3,6
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solve
Y=4x^3-10
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To create an equation of a nonlinear function, you can use various mathematical operations, such as exponentiation, square roots, or trigonometric functions, that do not result in a straight line when graphed.

Let's go step by step through each problem to solve for the given inputs or evaluate them.

Problem #1:
The nonlinear function is f(x) = -6x^3 + 10.
To find f(4), substitute x = 4 into the function: f(4) = -6(4)^3 + 10 = -6(64) + 10 = -384 + 10 = -374.
To find f(-4), substitute x = -4 into the function: f(-4) = -6(-4)^3 + 10 = -6(-64) + 10 = 384 + 10 = 394.

Problem #2:
The nonlinear function is g(x) = 20 - 5x^2.
To find g(1), substitute x = 1 into the function: g(1) = 20 - 5(1)^2 = 20 - 5 = 15.
To find g(-1), substitute x = -1 into the function: g(-1) = 20 - 5(-1)^2 = 20 - 5 = 15.

To evaluate if a given set of inputs is a solution to a nonlinear function, substitute the values into the function and check if the equation holds true.

Problem #3:
The nonlinear function is y = x^3 - 30.
To check if (4, 34) is a solution, substitute x = 4 into the function: 34 = (4)^3 - 30 = 64 - 30 = 34, so (4, 34) is a solution.
To check if (5, 90) is a solution, substitute x = 5 into the function: 90 = (5)^3 - 30 = 125 - 30 = 95, so (5, 90) is not a solution.

Problem #4:
The nonlinear function is y = 16 - x^3.
To check if (-2, 4) is a solution, substitute x = -2 into the function: 4 = 16 - (-2)^3 = 16 + 8 = 24, so (-2, 4) is not a solution.
To check if (3, 6) is a solution, substitute x = 3 into the function: 6 = 16 - (3)^3 = 16 - 27 = -11, so (3, 6) is not a solution.

Lastly, for the problem "Y = 4x^3 - 10," it seems like you have only provided the equation. If you need to find specific solutions or evaluate inputs, please provide the instructions or values that need to be solved.