Answer:
x = .464
Step-by-step explanation:
Assumptions: Equation is [tex]-2x^3+20[/tex]. Thus having an asymptote at the value x=0.
- To solve for the x-intercepts, we plug in 0 for f(x).
- We can subtract 20 from both sides, leaving us with [tex]-20 = -2x^-3.[/tex]
- We can divide both sides by -2. [tex]10=1/x^3[/tex].
- Now we multiply both sides by x^3, to get rid of the denominator on the right-hand side. [tex]10x^3=1[/tex].
- We now divide both sides by 10 and take the cube root. Leaving us with x = [tex]\sqrt[3]{1/10}[/tex] or .464. (One x-intercept.)
