Functions questions | form three Basic Mathematics

The function f is defined as follows:

(i) Sketch the graph of f(x) ,
(ii) Determine the domain and range of f(x) .

Given

(i) Sketch the graph of f(x) .
(ii) State the domain and range of f(x) .
(iii) Is f(x) a one to one function? Give reason(s).

1. i. Draw thegraphs of the functions   and in the same coordinate system.

2. Shade the region enclosed by the graphs in (i) indicating the intercepts for both graphs.

2. From the graphs in (a) write the coordinates of the points where f(x) = g(x).
3. State the domain and range of f (x).

The function f is defined by

1. Find f(-4)
2. Give the domain and range of  f(x).
3. Sketch the graph of f(x).

The function f is defined as

(a) Sketch the graph of f
(b) From the graph determine the domain and range of f
(c) Find the value of (i) f(-3) (ii) f(0) (iii) f(5) (iv) f(f -2)).

If f is a function such that:

(a) determine the domain and range of f{x).
(b) draw the graph of f(x).

1. If

find the values of x for which the function is not defined.

2. Given

1. Sketch the graph of f(x)
2. State the domain and range of f(x)
3. Is f(x) a one to one function?

1. If a function f is defined by

find :

1. An expression for
2. The value of
3. The domain and range of

2. Plot the graph of   for   and use it to solve the equation

Given the function
(i) Find the minimum point of f(x).
(ii) Find the x and y intercepts.
(iii) Determine the axis of symmetry of f(x ).
(iv) Draw the graph of f(x) using the results in part (i) : (iii) and use it to indicate the solution of the equation
(v) Find the domain and range of f(x)

1. A function f is defined on the set of integers as follows:

(i) Draw a pictorial diagram for f(x) .
(ii) Find the domain and range of f(x) .

2. Given that      find