Question

Given $f(x) = -9x^3(x+2)^3(4x+3)(x+3)^3$ List the zeroes (ex. 4, 6, -2): Degree: End behavior: As $x \to -\infty$, $f(x) \to \infty$ As $x \to +\infty$, $f(x) \to -\infty$

          Given $f(x) = -9x^3(x+2)^3(4x+3)(x+3)^3$ 
List the zeroes (ex. 4, 6, -2):
Degree:
End behavior:
As $x \to -\infty$, $f(x) \to \infty$
As $x \to +\infty$, $f(x) \to -\infty$

Given f(x) = -9x^3(x+2)^3(4x+3)(x+3)^3
List the zeroes (ex. 4, 6, -2):
Degree:
End behavior:
As x → -∞, f(x) →∞
As x → +∞, f(x) → -∞

Added by Vanessa S.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Lauren Shelton

04/03/2023

Step 1

The zeroes are the values of x that make f(x) equal to zero. Step 2: Setting f(x) equal to zero: -9x^(3)(x+2)^(3)(4x+3)^(3)(x+3)^(3) = 0 Step 3: To find the zeroes, we can set each factor equal to zero and solve for x: Show more…

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Given f(x)=-9x^(3)(x+2)^(3)(4x+3)^(3)(x+3)^(3) List the zeroes (ex. 4, 6, -2): Degree: End behavior: As x->-infty ,f(x)-> As x->+infty ,f(x)->-00 End behavior: Degree: As-+00f00 As--00f+00 List the zeroes (ex.4, 6, -2): Givenfx=-9x3x+24x+3x+33