Que.3 Do the following sums. (C)1. How can you tell if a function is continuous or discontinuous from its graph ? 2. Consider the function f(x) = x3 - 3x.a. Determine whether the function is even , odd, or neither.b. Determine domain of the function.c. Determine the intercepts. 4. a. Solve 3 ^x = 15 by taking the natural logarithm of both sides.b. Solve 3 ^x = 15 by taking the common logarithm (base 10) of both sides.c. What do you conclude ? 6. Which word best describes the solution to the following system of equations ?[x ,y ,z] = [4 ,-2, 3] + s[5 ,-3 ,2][x ,y ,z] = [1 ,-3, 1] + t[5 ,-3 ,2] justify answer.a. Consistentb. Coincidientc. Inconsistentd. Skew 7. Differentiate dot product and cross product. 8. Determine the value of k so that = [k , 4] are perpendicular.

8. Determine the value of k so that u= 2,5 AV = [k , 4] are perpendicular. (3 marks) 5. Show that the definitions of vector addition and scalar multiplication are consistent by drawing an example to show that utu+u+u=4u (3 marks) 3. Use the differentiation rules to show that y = sin x + cos x is a constant function , a function of the form y = c for some c ER. use a trigonometric identity to verify yor