How do you determine if #f(x)=7x^2 - 2x + 1# is an even or odd function?
1 Answer
May 6, 2016
neither
Explanation:
To determine wether a function is even/odd , consider the following
• If f(x) = f( -x) , then f(x) is even
Even functions are symmetrical about the y-axis.
• If f( -x) = - f(x) , then f(x) is odd
Odd functions have symmetry about the origin.
Test for even
#f(-x)=7(-x)^2-2(-x)+1=7x^2+2x+1# Since f(x) ≠ f( -x) , then f(x) is not even
Test for odd
#-f(x)=-(7x^2-2x+1)=-7x^2+2x-1# Since f( -x) ≠ - f(x) , then f(x) is not odd
graph{7x^2-2x+1 [-10, 10, -5, 5]}
