A function f is defined as follows:

 (i)     Draw a pictorial diagram of f(x)

(ii)  Find Domain And Range

Given that

find f^-1(4)

The function is defined as follows:f 

(i)  Sketch the graph of (f x),

(ii)  Use the graph to determine the domain and range of (f x).

The function f is defined as follows:

(i)  Sketch the graph of f(x),

(ii)  Determine the domain and range of f(x) .

Given that h(x)= -1 - | x + 3|

i.Sketch the graph of h(x)

ii.Use the graph to deduce domain and range

Given the function f(x) = x²-8x + 12

1. Find the x and y-intercepts
2. Using (a) determine the axis of symmetry of f(x)
3. Using (b) determine the coordinates of the minimum point
4. Using (a) (b) and (c) sketch the graph of f(x)
5. From the graph find

1. Domain (ii)Range

6. Construct a suitable line and sketch it on the same axes to find solution of the equation; x² + 7x + 10=0

If f(x) is the function such that

1. Sketch the graph of f(x)
2. State the domain and range of f(x)

A function F is defined by the formula f(x) = where x is a whole number i. If f(x) = 25 find the value of x

ii. Find the value of

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).

(i) Draw the graph of f (x) = | x —1| for -4 ≤ x ≤ 4

(ii) State the domain and range of f (x)=|x-1|

Given that

(a) (i) Sketch the graph of f(x)

(ii) State its domain and range (iii) Is f(x) a one - to – one function?

(b) Find:

( i ) f(-4)

( ii ) f(2)

( iii )

If f (x) = -2x + 3 find f ^-1 (3)

( a) Given f(x) = x² - 4x + 2. Find

i) Axis of symmetry ii) Maximum or minimum value

iii) Turning point

(b)Draw the graph of f(x) in (a) and use it to solve the equation x² - 4x -2 =3

Draw a graph of the function y = x² ? 3x + 2 for the values of x from ? 2 to 5.

From your graph, find:

(a) The range of the function?

(b) The minimum value of y and the value of x at which this minimum value occurs?

(c) The solution of the equation x² ? 3x ? 4 = 0

(d) The solution of the inequality x² ? 3x + 2 > 0

Suppose a function f  is defined by f (x) = (x + 2)² , find the domain and range of the inverse of the function f .

 Calculate the values of  if f is defined as  

(b) Using information given in part (a), find

Given the function

 , find;

1. The domain and range
2. 

  The function f is defined by

(i) Sketch the graph of f.

(ii) Use the graph to determine the domain and range of f.