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(3514) Question Category: Mathematical Calculation

The function f is defined as follows:

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

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

Answer / Solution

UNSOLVED

(3515) Question Category: Mathematical Calculation

Given

f(x)=left{egin{matrix} -4 & when & x<-1 \ x^{2}+1& when &-1leq xleq 2 \ 5& when & xgeq 2 end{matrix}
ight.

(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).

 

Answer / Solution

UNSOLVED

(3517) Question Category: Mathematical Calculation

  1. i. Draw thegraphs of the functions f(x)=x^{2}-4  and g(x)=x+2 in the same coordinate system.
  1. Shade the region enclosed by the graphs in (i) indicating the intercepts for both graphs.
  1. From the graphs in (a) write the coordinates of the points where f(x) = g(x).
  2. State the domain and range of f (x).

Answer / Solution

UNSOLVED

(3518) Question Category: Mathematical Calculation

The function f is defined by

f(x)=left{egin{matrix} x^{2} & for & xleq 0\ x & for & x> 0 end{matrix}
ight.

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

Answer / Solution

UNSOLVED

(3519) Question Category: Mathematical Calculation

The function f is defined as

f(x)=left{egin{matrix} 3x-5 &when &xgeq 2 \ 4 & when & -2leq x< 2\ x& when & x< -2 end{matrix}
ight.

(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)).

Answer / Solution

UNSOLVED


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