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Find the
y-coordinate of the
y-intercept of the polynomial function defined below.

f(x)=9x-4x^(2)+9x^(3)-3
Answer:

Find the $y$ -coordinate of the $y$ -intercept of the polynomial function defined below. $\newline$ $f(x)=9 x-4 x^{2}+9 x^{3}-3$ $\newline$ Answer:

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Reflections of functions

Full solution

Q. Find the

y

-coordinate of the

y

-intercept of the polynomial function defined below.

\newline

f(x)=9 x-4 x^{2}+9 x^{3}-3

\newline

Answer:

Evaluate at $x = 0$ : To find the $y$ -coordinate of the $y$ -intercept of the function $f(x)$ , we need to evaluate $f(x)$ at $x = 0$ , because the $y$ -intercept occurs where the graph of the function crosses the $y$ -axis, and this happens at $x = 0$ .
Substitute into $f(x)$ : Substitute $x = 0$ into the polynomial function $f(x) = 9x - 4x^2 + 9x^3 - 3$ . $f(0) = 9(0) - 4(0)^2 + 9(0)^3 - 3$
Simplify the expression: Simplify the expression by performing the operations. $f(0) = 0 - 0 + 0 - 3$
Final result: The result of the simplification gives us the y-coordinate of the y-intercept. $\newline$ $f(0) = -3$

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Question

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Question

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Question

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Question

Tess tried to solve the differential equation

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\newline

\frac{d y}{d x}=2 x y-6 x

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\quad \frac{d y}{d x}=(y-3) 2 x

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Aditya tried to solve the differential equation

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\newline

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Question

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\newline

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\newline

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\newline

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