Question

Which of the following statement is true about the Chebyshev function Tm(x)?

(a) It is a continuously increasing function after x=1

(b) It is a continuously decreasing function after x=1

(c) It is a continuously increasing function after x=0

(d) It is a continuously decreasing function after x=0

This question was posed to me at a job interview.

This key question is from Adaptive Array topic in portion Phased, Adaptive and Binomial Arrays of Antennas

Answer 1

Right option is (a) It is a continuously increasing function after x=1

The best explanation: T0(x) = 1

T1(x) = x

T2(x) = 2x^2-1

⇨ T3(x) = 4x^3-3x

This is the chebyshev polynomial and it increases continuously after x=1