Chat with our AI personalities
Some examples: f(x)= 3x + 2 f(x)= x f(x)= -2x -1
f(n)=15n2+5n
it's linear if for any x,y,k values: f(k*x + (1-k)*y) = k*f(x) + (1-k)*f(y) or, an equivalent condition: it's linear if for any k value: f(k) = k*f(1) + (1-k)*f(0) = f(0) + k*(f(1)-f(0)) examples: f(x) = 7, x, 2x, 11-3x non-linear in any other case. examples: f(x)=x^2, sin(x), 1/x, ln x
Some examples of periodic functions include sine and cosine functions, square wave functions, and sawtooth wave functions. These functions repeat themselves over a given interval, called the period, and have the same values at regular intervals.
No. Examples of shapes without lines of symmetry include a scalene triangle, a parallelogram, the capital letters F and J.