Functions questions | form three Basic Mathematics

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#	Question
1	Calculate the values of f(1) and f(- $pi$ ) if f is defined by $f(x)=left{egin{matrix} x+2 & for & x<0 \ 2 & for &0leq xleq2 end{matrix} ight.$ Using the information given in part (a), find f^-1(-1). Mathematical Calculation
2	The function f is defined by $f(x)=left{egin{matrix} -2 &if &x<-1 \ 0 &if &-1 \ x+2 &if &xgeq -1 end{matrix} ight.$ Sketch the graph of f. Use the graph to determine the domain and range of f. Mathematical Calculation
3	The function f is defined as follows: $f(x)=left{egin{matrix} 1 &if &xleq 0 \ x^{2}+1 &if &0<xleq 2 \ 5 &if & xgeq 2 end{matrix} ight.$ Sketch the graph of f(x), Use the graph to determine the domain and range of f(x). Mathematical Calculation
4	If $f(x)=x^{2}-4x+3$ . Find $f^{-}(x)$ The domain and range of f(x). Mathematical Calculation
5	Without using a table of values , draw the graph of $y=x^{2}-4x+2$ and use it to solve the equation $x^{2}-4x=5$ Mathematical Calculation
6	Drwa a graph of the function $y=x^{2}-3x+2$ for the values of x from -2 to 5. From your graph . find; The range of the function The minimum value of y and the value of x at which this minimum values occur. The solution of the equation $x^{2}-3x-4=0$ The solution of the inequality $x^{2}-3x+2>0$ Mathematical Calculation
7	If f(x)=-2x+3 find f^-1(3) Draw the graph of f(x)=\|x-1\| for $-4leq xleq 4$ State the domain and range of f(x)=\|x-1\| Mathematical Calculation
8	The function f is defined by f:x→ax+b, for $xvarepsilon R$ , where a and b are constants. It is given that f(2)=1 and f(5)=7. Find the value of a and b. Solve the equation f=f(x)=0. Mathematical Calculation
9	The function f and g are defined by: f(x)=\|x\| and g(x)=2-3x Evaluate f(-3) Find g^-1(8). Draw on the same axes the graphs of f and g. Mathematical Calculation
10	Without using a table of values , draw the graph of $y=-x^{2}+4x-5$ and use it to solve the equation $-x^{2}+4x-5=-10$ . Mathematical Calculation