Everything Maths Grade 11

CHAPTER 11. QUADRATIC FUNCTIONS ANDGRAPHS 11.2 The range of f(x) = a(x+ p)^2 + q depends on whether the value for a is positive ...

11.2 CHAPTER 11. QUADRATIC FUNCTIONS ANDGRAPHS For example, the y-intercept of g(x) = (x− 1)^2 + 2 is given by setting x = 0 to ...

CHAPTER 11. QUADRATIC FUNCTIONS ANDGRAPHS 11.2 So, if a > 0 , then the lowest valuethat f(x) can take on is q. Solving for th ...

11.2 CHAPTER 11. QUADRATIC FUNCTIONS ANDGRAPHS Sketching Graphs of theFormf(x)=a(x+ p) 2 +q EMBBB In order to sketch graphs of t ...

CHAPTER 11. QUADRATIC FUNCTIONS ANDGRAPHS 11.2 The x-intercept is obtained bysetting y = 0. This gives: 0 =− 1 2 (xint+ 1)^2 − 3 ...

11.2 CHAPTER 11. QUADRATIC FUNCTIONS ANDGRAPHS Writing an Equation of aShifted Parabola EMBBC Given a parabola with equation y = ...

CHAPTER 11. QUADRATIC FUNCTIONS ANDGRAPHS 11.2 More practice video solutions or help at http://www.everythingmaths.co.za (1.) 01 ...

Hyperbolic Functions and Graphs 12 13.1 Introduction EMBBD In the previous chapter,we discussed the graphsof general quadratic f ...

CHAPTER 12. HYPERBOLIC FUNCTIONS ANDGRAPHS 12.2 On the same set of axes, plot the following graphs: (a) a(x) =x−+1^2 + 1 (b) b( ...

12.2 CHAPTER 12. HYPERBOLIC FUNCTIONS ANDGRAPHS Domain and Range EMBBF For y =xa+p+ q, the function is undefined for x =−p. The ...

CHAPTER 12. HYPERBOLIC FUNCTIONS ANDGRAPHS 12.2 The y-intercept is calculated as follows: y = a x + p + q (12.1) yint = a 0 + p ...

12.2 CHAPTER 12. HYPERBOLIC FUNCTIONS ANDGRAPHS More practice video solutions or help at http://www.everythingmaths.co.za (1.) 0 ...

CHAPTER 12. HYPERBOLIC FUNCTIONS ANDGRAPHS 12.2 For example, sketch thegraph of g(x) =x+1^2 + 2. Mark the intercepts and asympto ...

12.2 CHAPTER 12. HYPERBOLIC FUNCTIONS ANDGRAPHS More practice video solutions or help at http://www.everythingmaths.co.za (1.) 0 ...

Exponential Functions and Graphs 13 15.1 Introduction EMBBJ Building on the previous two chapters, we willdiscuss the sketching ...

13.2 CHAPTER 13. EXPONENTIAL FUNCTIONS AND GRAPHS (b) g(x) = 2(x+1)− 1 (c) h(x) = 2(x+1)+ 0 (d) j(x) = 2(x+1)+ 1 (e) k(x) = 2(x+ ...

CHAPTER 13. EXPONENTIAL FUNCTIONS AND GRAPHS 13.2 If a < 0 then: b(x+p) > 0 a. b(x+p) < 0 a. b(x+p)+ q < q f(x) < ...

13.2 CHAPTER 13. EXPONENTIAL FUNCTIONS AND GRAPHS The x-intercepts are calculated by setting y = 0 as follows: y = ab(x+p)+ q (1 ...

CHAPTER 13. EXPONENTIAL FUNCTIONS AND GRAPHS 13.2 Sketching Graphs of the Form f(x)= ab (x+p) +q EMBBO In order to sketch graphs ...

13.2 CHAPTER 13. EXPONENTIAL FUNCTIONS AND GRAPHS (c) y = 2. 2 x (d) y = 2. 2 x+2+ 2 Draw the graph of f(x) = 3x. Explain where ...