Functions questions | form three Basic Mathematics

(3520) Question Category: Mathematical Calculation

If f is a function such that:

f(x)=left{egin{matrix} -3 & if & xleq -1\ 1 &if &-1< xleq 2 \ 4& if &2< x end{matrix}
ight.

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

Answer / Solution

UNSOLVED

(3521) Question Category: Mathematical Calculation

  1. If

f(x)=frac{x+2}{x^{2}-x-6}

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

  1. Given

f(x)=left{egin{matrix} -3 &when &x<- 2 \ 1 &when &-2leq x< 1 \ 4 &when & xgeq 1 end{matrix}
ight.

  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?

Answer / Solution

UNSOLVED

(3522) Question Category: Mathematical Calculation

  1. If a function f is defined by f(x)=frac{3x-5}{x+2}

find :

  1. An expression for f^{-1}(x)
  2. The value of f^{-1}(2)
  3. The domain and range of f^{-1}(x)
  1. Plot the graph of y=2x^{2}  for -2leq xleq 4  and use it to solve the equation 2x^{2}-3x-2=0

Answer / Solution

UNSOLVED

(3523) Question Category: Mathematical Calculation

Given the function f(x)=x^{2}+6x+10
(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 x^{2}+6x-7=0
(v) Find the domain and range of f(x)

Answer / Solution

UNSOLVED

(3524) Question Category: Mathematical Calculation

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

f(x)=left{egin{matrix} 1+x & for & 1leq xleq 2\ 2x-1& for &2leq xleq 4 \ 3x-10& for & 4leq xleq 6 end{matrix}
ight.

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

  1. Given that f(x)=frac{5x+7}{x+2}     find   f^{-1}(4)

Answer / Solution

UNSOLVED


View All Topics
News & Updates | Recently
Recent Updates
questions

2024-05-02: questions

Questions Uploaded on 2024-05-02


questions

2024-03-29: questions

Questions Uploaded on 2024-03-29


questions

2024-03-19: questions

Questions Uploaded on 2024-03-19

Dismissible in 10 seconds