# Graphs

## 2.3 Graph of Functions

Calculator Allowed: No Question Answer Transcription of this question: 3.[Maximum mark: 61The following diagram shows the graph Of y f (x) , for —4 x 5 .(a)(b)(c)-4Write down the value Of(ii) f -1(1)Find the domain Of642-2-2624.6On the grid above, sketch the graph Of f -[21[21[21

## 2.3 Graph of Functions

Calculator Allowed: Yes Question Answer Transcription of this question: 5., for[Maximum mark: 71Consider f (x) forOf f is given below.-2—2 S x S 2 and3-2The graph(a)(b)(c)On the diagram above, sketch the graph Of g.Solve f(x) g(x)Write down the set of values Of x such that f (x) > g[3 marks][2 marks][2 marks]

## 2.3 Graph of Functions

Calculator Allowed: No Question Answer Transcription of this question: 4.[Maximum mark: 6]The diagram below shows the graph Ofa function f, for-3-2—3—3–22(a)Write down the value Of(i)(ii)[3 marks]

## 2.3 Graph of Functions

Calculator Allowed: Yes Question Answer Transcription of this question: The following diagram shows the graph of a function y = f (x) , for —6 s x —2The points (—6, 6) and (—2, 6) lie on the graph of f. There is a minimum point at (—4, O).(a) Write down the range of f.12Let g(x) […]

## 2.3 Graph of Functions

Calculator Allowed: No Question Answer Transcription of this question: [Maximum mark: 6]The following diagram shows the graph of a function f, with domain —2 x 4.+1The points (—2, O) and (4, 7) lie on the graph of f.(a)(b)(c)Write down the range of f.Write down(ii) fit(2).On the grid opposite, sketch the graph of f-l

## 2.3 Graph of Functions

Calculator Allowed: No Question Answer Transcription of this question: [Maximum mark: 4]A rational function is defined by f(x) — a +where the parameters a, b, ce Z andx e R {c} . The following diagram represents the graph of y = f (x).Using the information on the graph,(a)(b)state the value of a and the value […]

## 2.3 Graph of Functions

Calculator Allowed: No Question Answer Transcription of this question: (a) Sketch the graph of y, stating the equations of any asymptotes and the2x-5coordinates of any points of intersection with the axes.(b)Consider the function f : xWrite down0)the largest possible domain of f;the corresponding range of f.

## 2.3 Graph of Functions

Calculator Allowed: Yes Question Answer Transcription of this question: 9.[Maximum mark: 81Consider the function g , where g(x)(a)(b)Given that the domain Of g is x 2 a , find the least value Of a such that g hasan inverse function.On the same set of axes, sketch(i)(ii)the graph Of g for this value Of a ;the […]

## 2.4 Key Features of Graphs.

Calculator Allowed: Yes Question Answer Transcription of this question: 3.[Maximum mark: 71Let f (x) = —4, for —1 s x s 5(a) Find the x-intercepts Of the graph Of[3 marks/(b) On the grid below, sketch the graph Of[3 marks](c) Write down the gradient Of the graph Of f at x 2 .[l mark]