Posted by **Riley** on Saturday, August 28, 2010 at 1:42pm.

Describe the end behavior of the graph of the polynomial function by completing these statements: f(x)→? as x→-∞ and f(x)→? as x→+∞.

1. f(x)=-(x^2)+1

2. f(x)==10x^3

- Algebra II -
**MathMate**, Saturday, August 28, 2010 at 2:34pm
(1) f(x)=-(x²)+1

is a parabola concave downwards, with a y-intercept of 1.

Thus the behaviour toward both infinities are -∞.

2. f(x)=-10x³ (note correction of typo)

is a cubic polynomial that starts from +∞ when x->-∞, and finishes off at -∞ as x->∞.

## Answer This Question

## Related Questions

- math - Determine the end behavior of the function as x → +∞ and as x...
- maths - A sequence is defined by un = 2×(−0.5)n + 3 (n = 1,2,3, . . .). ...
- maths - A sequence is defined by un = 2×(−0.5)n + 3 (n = 1,2,3, . . .). ...
- Urgent math - R(x) = −x5 + 4x3 − 3x (a) Describe the end behavior of...
- math help please! - Assuming that limits as x → ∞ have the ...
- L'Hopitals Rule - 5) Use the L’Hopital’s method to evaluate the following limits...
- calc urgent - Note that f is continuous on (−∞, 6) and (6, ∞...
- calcc - Note that f is continuous on (−∞, 6) and (6, ∞). For ...
- Chemistry - I think these I know how to do ....just want someone to check..still...
- probability - Let Sn be the number of successes in n independent Bernoulli ...

More Related Questions