Question

A graph representing the function f(x) is given in it is clear that f(9) = 2.

(i) Find the following values of the function 

(a) f(0) 

(b) f(7) 

(c) f(2) 

(d) f(10)

(ii) For what value of x is f(x) = 1 ?

(iii) Describe the following

(i) Domain 

(ii) Range.

(iv) What is the image of 6 under f?

Answer 1

(i) (a) f (0) = 9 

(b) f (7) = 6

(c) f (2) = 6 

(d) f(10) = 0

(ii) When f(x) = 1 the value of x is 9.5

(iii) (i) Domain = {0, 1, 2, 3,...10} 

= {x / 0 ≤ x ≤ 10, x ∈ R} 

(ii) Range = {0,1,2,3,4,5,6,7,8,9} 

= {x / 0 ≤ x ≤ 9, x ∈ R}

(iv) The image of 6 under f is 5.