Functions questions | form three Basic Mathematics

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#	Question
1	Sketch the graph of the function : $f(x)=-1+\|x\|$ and find: (i) the domain, (ii) the range, of f(x). Mathematical Calculation
2	Given that $g(x)=5+frac{x}{2}$ find the value of $g^{-1}(6)$ $g^{-1}(0)$ $g^{-1}(-1)$ $g^{-1}(a)$ Mathematical Calculation
3	Find g^-1(x) and hence evaluate g^-1(18) given that g(x)=2^x+2. Use the remainder theorem to find the remainder when f(x)=x³+2x²-4x+10 is divided by 3x+6. Mathematical Calculation
4	If f(x)=5x²+17x-12 (i)Evaluate f(10)-f(5) (ii)Factorize f(x) Determine the domain and range of f(x). Mathematical Calculation
5	A function is defined by $f(x)=x^{2}-2$ Find $f^{-1}(x)$ $f^{-1}(-2)$ The domain of $f^{-1}(x)$ Mathematical Calculation
6	A function is defined by f(x)=x²-2, Find The inverse, f^-1(x) of this function. The value of f^-1(-2). The domain of f^-1(x) Rewrite \|2x+3\|<7 without the solute value sign and hence sketch a graph of the resulting inequality. Mathematical Calculation
7	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
8	The function f is defined as follows $f(x)=left{egin{matrix} -x+2 & if &x<-1 \ 2 & if & -1<xleq 1 \ x & if & xgeq 1 end{matrix} ight.$ Sketch the graph of (fx) Use the graph to determine the domain and range of f(x). Mathematical Calculation
9	Given the function $f(x)=x^{2}+6x+10$ Find the minimum point of f(x). Find the x and y intercepts. Determine the axis of symmetry of f(x). Draw the graph of f(x) using the results in part(i)-(iii) and use it to indicate the solution of the equation $x^{2}+6x-7=0$ . Find the domain and range of f(x). Mathematical Calculation
10	Suppose a function f is defined by $f(x)=(x+2)^{2}$ , find the domain and range of the inverse of the function f. Mathematical Calculation