Maths Worksheet - Maths Worksheet - Inverses, Exponentials And Logarithms (answers)

SAEP Matric Success – Zisukhanyo Maths Worksheet Tuesday 3rd March 2009 Inverses, Exponentials and Logarithms – ANSWERS 1. Study & Master (Higher Grade), Test 10a, Q1,3,5,7,9 a) 3 b) 1 c) 4 d) 12

e) 5/3

2. Study & Master (Higher Grade), Test 10a, Q11,13,15,17,19 a) 25 b) 1/25 c) 100 d) 3 e) 1/100 3. Study & Master (Higher Grade), Test 9a, Q1,3,5,7,9,11 a) 8a9 b) 2n + 3 c) 64x6y3 d) -1 e) 1

f) 22n - 2

4. Study & Master (Higher Grade), Test 9d, Q1,3,5,7,9,11 a) 6 b) 0 c) 25 d) 3 e) 0

f) -25

5. Classroom Mathematics, Exercise 2.5, Q1 a) 2 b) 4 d) 1/729 e) 625

c) ¼ f) a > 0 ; a ≠ 1

6. Classroom Mathematics, Exercise 2.5, Q3 a) y-axis b) y-axis c) x-axis d) y = x 7. Classroom Mathematics, Exercise 2.7, Q1 b) every element of the input set is mapped onto only one element of the output set. c) Domain: (0 ; ∞) ; Range: (-∞ ; ∞) d) No y-intercepts, x-intercepts = 1 e) one-to-one f) increasing 8. Study & Master (Higher Grade), Test 10c, Q7 Domain: {x : -5 < x < 3 ; x ε R} Range: {y : y ≤ 4 ; y ε R} (because 24 = 16) 9. Study & Master (Higher Grade), Test 10c, Q11 a) f-1(x) = log(1/2) x b) h(x) = -(1/2)x c) k(x) = 2x