Algebra II
posted by Riley .
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

(1) f(x)=(x²)+1
is a parabola concave downwards, with a yintercept 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>∞.
Respond to this Question
Similar Questions

maths
A sequence is defined by un = 2×(−0.5)n + 3 (n = 1,2,3, . . .). Choose the option that best describes the longterm behaviour of the sequence. Options A un becomes arbitrarily small (that is, un → 0 as n→∞). … 
maths
A sequence is defined by un = 2×(−0.5)n + 3 (n = 1,2,3, . . .). Choose the option that best describes the longterm behaviour of the sequence. Options A un becomes arbitrarily small (that is, un → 0 as n→∞). … 
L'Hopitals Rule
5) Use the L’Hopital’s method to evaluate the following limits. In each case, indicate what type of limit it is ( 0/0, ∞/∞, or 0∙∞) lim x→2 sin(x^2−4)/(x−2) = lim x→+∞ ln(x−3)/(x−5) … 
Urgent math
R(x) = −x5 + 4x3 − 3x (a) Describe the end behavior of the polynomial function. End behavior: y → rises to the right Incorrect: Your answer is incorrect. as x → ∞ y → falls to the left Incorrect: … 
math
Determine the end behavior of the function as x → +∞ and as x → −∞. f(x) = 1000 − 39x + 51x^2 − 10x^3 As x → +∞, f(x) → ? 
math help please!
Assuming that limits as x → ∞ have the properties for limits as x → c, use algebraic manipulations to evaluate lim x → ∞ for the function. a. f(x) = x − 2/2 + 6x^2 b. f(x) = x^2 + 6/x + 7 Please … 
Math
Find the limit if it exists. lim 1/(x2) x→2+ lim 1/(x2) x→2 lim 1/(x2) x→2 lim (3x+2) x→∞ lim 999/(x^3) x→∞ 
Math
Find the limit if it exists. lim 1/(x2) x→2+ lim 1/(x2) x→2 lim 1/(x2) x→2 lim (3x+2) x→∞ lim 999/(x^3) x→∞ 
Math
Find the limit if it exists. lim 1/(x2) = infinity x→2+ lim 1/(x2) = negative infinity x→2 lim 1/(x2) = Does not exist x→2 lim (3x+2) = infinity x→∞ lim 999/(x^3) = 0 x→∞ Can someone check … 
Calculus
1. Use a graph to estimate the limit. Use radians unless degrees are indicated by θ°. (Round your answer to four decimal places.) lim θ → 0 θ/tan(7θ) 2. Assuming that limits as x → ∞ have the …