# Math

Let f(x) = x^4 + 2x^2 + 1 / x + 1

Find f(-x)and determine
if f is even, odd, or neither.

1. 👍 0
2. 👎 0
3. 👁 65
1. f(-x) = x^4 + a x^2 -1/x + 1
so
f(-x) is not the same as f(x) so not even
however f(-x) is not -f(x) either so it is not odd either

1. 👍 0
2. 👎 0
posted by Damon
2. Thank you

1. 👍 0
2. 👎 0
posted by MSM

## Similar Questions

1. ### Pre-Calculus

For the function f(x)=12x^3+4x^2-27x-9 describe the end behavior. Find the real zeros of f and determine whether the graph crosses or touches the x-axis at each x-intercept. Use the zeros of f and test numbers to find the

asked by Leizy on October 10, 2015
2. ### Algebra

Find the axis of symmetry for y=x^2+4x-7 Find the axis of symmetry for y=3x^2-18x+1 Find the axis of symmetry for y=5x^2+10+3 Determine if the vertex is a maximum or minimum and identify it y=2x^2-3 Determine etc etc for y=-x^2-2x

asked by Breona on November 28, 2012
3. ### Calculus

Consider the function f(x) = 5/4x^4 + 2/3x^3 - 5x^2 - 4x + 5 a. Find any relative extrema for f(x); be sure to label each as a maximum or minimum. You do not need to find function values; just find the x-values. b. Determine the

asked by Jake on January 14, 2020
4. ### AP Calculus

Consider the function f(x) = 1/4x^4 - 5/3x^3 - 3/2x^2 + 15x - 3. A. Find the relative extrema for f(x); be sure to label each as a maximum or minimum. You do not need to find function values; just find the x-values. B. Determine

asked by Steph on January 16, 2017
5. ### math

1.Order the numbers from least to greatest. –3, –8, |–6|, 2 A 2, |–6|, –8, –3 B –3, –8, 2, |–6| C –8, |–6|, –3, 2***** D –8, –3, 2, |–6| 2. Determine the sign of your answer, then find the SUM or

asked by bobafett on August 15, 2019
6. ### math pre calculus

find the following for the function f(x)=(x+5)^2(x-2)^2 a.find the x and y intercepts, b.find the power function that the graph ressembles for large values of x c.determine the maximum number of turning points on the graph of f

asked by laila on March 26, 2013
7. ### calculus

f(x)=−x3 −x2 +16x+16 1. Calculate f′(x). 2. Calculate f′′(x). 3. Find the x values such that f(x) = 0. Note: this can be done by factoring. 4. Find the stationary point/s. Note: a point requires x and y coordinates. 5.

asked by R on December 20, 2016
8. ### math

Let f be he real-valued function defined by f(x)=sin^3x+sin^3|x| (a) find f'(x) for x>0 (b) find f'(x) for x

asked by Mariam on November 4, 2010
9. ### Pre-Calculus

1. Find functions f and g so that f[g(x)]=H(x) where H(x)=(1+x^2)^3 2. For f(x)=4x+1 and g(x)=x^2-2x-4, find (g-f)(x) 3. Determine f(x)=x/x^2-4 4. Determine the domain of f in f(x)=10-sqrt3-x

asked by kalakalikalakali on June 28, 2011
10. ### Calculus

For the function below, determine the intervals of concavity: f(x)=xlnx I tried doing it but the second derivative would always be f''(x)=1/x, so it would be concave up at x>0 and concave down at x

asked by Isabella on January 10, 2016
11. ### Physics

At t = 0, a 785 g mass at rest on the end of a horizontal spring (k = 125 N/m) is struck by a hammer, which gives the mass an initial speed of 2.70 m/s. (a) Determine the period of the motion. T= .4979201367s Determine the

asked by Anon on December 7, 2010

More Similar Questions