For numbers 6-9: Consider the graph of the function h(x) below: h(x) 12/ 10 O- 1b 12 6. What is the value of h(6)? ANSWER 7. What is the value of lim h(x)? x-6 ANSWER 8. What is the value of lim h(x)? X-6+ ANSWERx- 1, ifx54 A.1. Let f (x) = x2 - 7, if x >4 Find: a. lim f(x) , b. lim f(x), c. lim f(x) (5 pts)C. Determine the number/s where f is discontinuous if there is any. Then state which conditions 1, 2, or 3 in the definition is/are not satisfied. Show your solution. (5 pts each) 1. f (x ) = x - 2 2. f(x) = 2x - 1, x51 x2+x-6 r, x>1I. Write your final answer on the space provided. Attach long bond paper for the necessary solution. Any form of ERASURE/s on the space provided means an INCORRECT answer. (2 pts each) 1. What is the slope of the line that touches the 9. What is the slope of a line through (-3,4) and curve at one point? (1,-5)? ANSWER 2. Simplify the expression 2xAr+(Ar)2 Ax ANSWER 10. What is the slope of the line tangent to ANSWER f( x) =2 3. What is the expanded form of 3(x + Ax)?? ANSWER ANSWER 4. If f(x) = =, what is f(x + 4x)? 11. Find the lim = 2rAr+(Ar)2 Ar ANSWER 5. If f(x) = 2x + 1, what is f(x + Ax) - f(x)? ANSWER 12. If f(x) = v2x + 1, what is the lim (X+4x)-/(x), Ar-+0 Ar ANSWER 6. Find the lim f(x) if f(x) = 2x - 3. ANSWER 13. Find - of the function f(x) = 1 -2x + x2. ANSWER 7. Find the lim (24-3) ANSWER 14. Find f(x) if f(x) = vx. ANSWER 8. If f(x) = 2x - 1, what is ((x+Ax)-/(x), ANSWER Ax 15. Find the derivative of the function f(x) = 2x3 + 3x - 1. ANSWER ANSWERFind the derivative of the ff. function using the definitionf' (x) = lim (x+4x)-f(x) - and determine the slope and Ax-+ Ar equation of the tangent lines at the given values of x. (15 pts each) 1. f (x) = =_at x = 0 SLOPE DERIVATIVE EQUATION OF TANGENT LINE 2. f (x) = v2 - xat x = -2 SLOPE DERIVATIVE EQUATION OF TANGENT LINE9. What is the value of lim h(x)? X-6 ANSWER For numbers 10-12: Consider the piece-wise 1+x if x2 Evaluate the following limits. 10. lim f(x) x--2 ANSWER 11. lim f(x) x-2+ ANSWER 12. lim f (x) x - 2 ANSWER For numbers 13-15: Consider the graph of the function h(x) below: y = f(x) 2 . X 4 13. What is the lim f (x)? x-1 ANSWER 14. What is the lim f(x)? x-2 ANSWER 15. What is the lim f (x)? x-3