Question

Given the function $P(x) = x^3 - x^2 - 12x$. The $y$-intercept is The $x$-intercepts is/are When $x \rightarrow \infty$, $y \rightarrow$ ? When $x \rightarrow -\infty$, $y \rightarrow$ ?

          Given the function $P(x) = x^3 - x^2 - 12x$.
The $y$-intercept is 
The $x$-intercepts is/are 
When $x \rightarrow \infty$, $y \rightarrow$ ?
When $x \rightarrow -\infty$, $y \rightarrow$ ?

Given the function P(x) = x^3 - x^2 - 12x.
The y-intercept is
The x-intercepts is/are
When x →∞, y → ?
When x → -∞, y → ?

Added by George A.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Lauren Shelton

Step 1

The y-intercept occurs when $ x = 0 $. Substitute $ x = 0 $ into the function $ P(x) = x^3 - x^2 - 12x $: \[ P(0) = 0^3 - 0^2 - 12 \cdot 0 = 0 \] So, the y-intercept is $ 0 $. Show more…

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Given the function P(x)=x^(3)-x^(2)-12x. The y-intercept is The x-intercepts is/are ◻ When x->infty ,y-> ◻ When x->-infty ,y-> Given the function P(x) = x3 - x2 - 12x. The y-intercept is The a-intercepts is/are When -> o, y -> ? When a -> 8,y> ?