INTRODUCTION TO FUNCTIONS (e) s fa, b, c), T (z, y), fis T is defined by f(a) an

Question

INTRODUCTION TO FUNCTIONS (e) s fa, b, c), T (z, y), fis T is defined by f(a) and f(b) y, f(c) y. Find all the pre-images of r; of y. (f) R is the set of all real numbers, T is the all real numbers set of and f: R. T is defined by f(r) 2. Evaluate f(-3): 0); f(3). Find all the pre-images of 1. (g) R is the set of all real numbers, T E RIE 01, and f: TT R is defined by f(r) r2. Evaluate f(-3); f(0): f(3). Find all the pre-images of 1. (h) z is the set of all integers, and h: z z is defined by h(z) 5- z Evaluate h(-1); h (2); h(1.3). Find all the pre-images of 2. (i) i: Z R. is defined by i(y) y (the inclusion function). Evaluate i(2); i(1.5). Find all the pre-images of 2; of 1.5 U) f: x z is defined by f( m t n. Evaluate f(6,7 2, 1). Find all the pre-images of 5. u fun n) (m y nom). Evalua

Explanation / Answer

Domain is all reals.Codomain is all reals. Range is all positive reals. F(3)=9,f(-3)=9 f(0)=0. Pre images of 1 are -1 and 1

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