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

f(x)=5x^(3)+x^(2)-2+6x
Answer:

Find the $y$ -coordinate of the $y$ -intercept of the polynomial function defined below. $\newline$ $f(x)=5 x^{3}+x^{2}-2+6 x$ $\newline$ Answer:

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Find derivatives of sine and cosine functions

Full solution

Q. Find the

y

-coordinate of the

y

-intercept of the polynomial function defined below.

\newline

f(x)=5 x^{3}+x^{2}-2+6 x

\newline

Answer:

Evaluate at $x=0$ : To find the y-coordinate of the y-intercept of the function $f(x) = 5x^3 + x^2 - 2 + 6x$ , we need to evaluate the function at the point where $x = 0$ , since the y-intercept occurs where the graph of the function crosses the y-axis.
Substitute $x=0$ : Substitute $x = 0$ into the function $f(x)$ to find the y-coordinate of the y-intercept. $\newline$ $f(0) = 5(0)^3 + (0)^2 - 2 + 6(0)$
Simplify expression: Simplify the expression by performing the calculations. $\newline$ $f(0) = 5(0) + 0 - 2 + 0$ $\newline$ $f(0) = 0 + 0 - 2 + 0$ $\newline$ $f(0) = -2$
Find y-coordinate: The y-coordinate of the y-intercept is the value of $f(0)$ , which we have found to be $-2$ .

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