Draw the piecewise functions. f ( x ) = x - 2 , when x ≤ 1 6 - x , when x > 1

Given that, f ( x ) = x - 2 , when x ≤ 1 6 - x , when x > 1 Indicate on the x -axis the boundaries defined by the intervals on each piece of the domain. For each piece of the domain, graph on that interval using the corresponding equation pertaining to that piece. At the endpoints of the domain, we draw open circles to indicate where the endpoint is not included because of a less-than or greater-than inequality; we draw a closed circle where the endpoint is included because of a less-than-or-equal-to or greater-than-or-equal-to inequality. If both open circle and closed circle overlap then we need not mention the open circle at that overlapping point. For f x = x - 2 , when x ≤ 1 Let y = f x ⇒ y = x - 2 , x ⩽ 1 For x = 1 , y = - 1 x = 0 , y = - 2 x = 2 , y = 0 For f ( x ) = 6 - x , when x > 1 Let y = f ( x ) ⇒ y = 6 - x , x > 1 put , x = 1 , y = 5 x = 6 , y = 0 x = 0 , y = 6 Thus, graph of the piecewise function is

Draw the piecewise functions. f ( x ) = 4 - 2 x , when x > 2 x - 2 , when - 2 ≤ x ≤ 2 - 4 , when x < - 2

Given that, f ( x ) = 4 - 2 x , when x > 2 x - 2 , when - 2 ≤ x ≤ 2 - 4 , when x < - 2 Indicate on the x -axis the boundaries defined by the intervals on each piece of the domain. For each piece of the domain, graph on that interval using the corresponding equation pertaining to that piece. At the endpoints of the domain, we draw open circles to indicate where the endpoint is not included because of a less-than or greater-than inequality; we draw a closed circle where the endpoint is included because of a less-than-or-equal-to or greater-than-or-equal-to inequality. If both open circle and closed circle overlap then we need not mention the open circle at that overlapping point. For f ( x ) = x - 2 , - 2 ≤ x ≤ 2 Let y = f x When x = 2 , y = 0 x = - 2 , y = - 4 x = 0 , y = - 2 and For f ( x ) = 4 - 2 x , x > 2 Let y = f x When x = 3 , y = - 6 For f ( x ) = - 4 , x < - 2 Let y = f x When x = - 3 , y = - 4 x = - 4 , y = - 4 Thus, graph of the piecewise function is

Draw the piecewise functions. f ( x ) = x + 1 , when x > 2 x , when - 2 ≤ x ≤ 2 - 4 , when x < - 2

Given that, f ( x ) = x + 1 , when x > 2 x , when - 2 ≤ x ≤ 2 - 4 , when x < - 2 Indicate on the x -axis the boundaries defined by the intervals on each piece of the domain. For each piece of the domain, graph on that interval using the corresponding equation pertaining to that piece. At the endpoints of the domain, we draw open circles to indicate where the endpoint is not included because of a less-than or greater-than inequality; we draw a closed circle where the endpoint is included because of a less-than-or-equal-to or greater-than-or-equal-to inequality. If both open circle and closed circle overlap then we need not mention the open circle at that overlapping point. For f ( x ) = x , - 2 ≤ x ≤ 2 Let y = f x ⇒ y = x - 2 When x = 2 , y = 2 x = - 2 , y = - 2 x = 0 , y = 0 and For f ( x ) = - 4 , x < - 2 Let y = f x When x = - 3 , y = - 4 x = - 4 , y = - 4 For f ( x ) = x + 1 , x > 2 Let y = f x When x = 3 , y = 4 x = 2 , y = 3 x = 5 , y = 6

Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Modelling Relationships between Two Data Sets: Statistics for Bivariate Data, Exercise 22: Exercise 7F

Author:Natasha Awada, Paul La Rondie, Laurie Buchanan & Jill Stevens

Natasha Awada Mathematics Solutions for Exercise - Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Modelling Relationships between Two Data Sets: Statistics for Bivariate Data, Exercise 22: Exercise 7F

Attempt the practice questions on Chapter 7: Modelling Relationships between Two Data Sets: Statistics for Bivariate Data, Exercise 22: Exercise 7F with hints and solutions to strengthen your understanding. Mathematics : Analysis and Approaches Standard Level Course Companion solutions are prepared by Experienced Embibe Experts.

Questions from Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Modelling Relationships between Two Data Sets: Statistics for Bivariate Data, Exercise 22: Exercise 7F with Hints & Solutions

EASY

Diploma

IMPORTANT

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 7 - Modelling Relationships between Two Data Sets: Statistics for Bivariate Data>Exercise 7F>Q 1

Draw the piecewise functions.

$f (x) = \{\begin{cases} x - 2, when x \leq 1 \\ 6 - x, when x > 1 \end{cases}$

EASY

Diploma

IMPORTANT

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 7 - Modelling Relationships between Two Data Sets: Statistics for Bivariate Data>Exercise 7F>Q 1

Draw the piecewise functions.

$f (x) = \{\begin{cases} 4 - 2 x, when x > 2 \\ x - 2, when - 2 \leq x \leq 2 \\ - 4, when x < - 2 \end{cases}$

EASY

Diploma

IMPORTANT

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 7 - Modelling Relationships between Two Data Sets: Statistics for Bivariate Data>Exercise 7F>Q 1

Draw the piecewise functions.

$f (x) = \{\begin{cases} x + 1, when x > 2 \\ x, when - 2 \leq x \leq 2 \\ - 4, when x < - 2 \end{cases}$

EASY

Diploma

IMPORTANT

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 7 - Modelling Relationships between Two Data Sets: Statistics for Bivariate Data>Exercise 7F>Q 2

A factory worker is paid at a daily rate of $$ 10$ per hour for the first forty hours of work per week and $$ 15$ per hour for any extra time (overtime).

Write down an equation for the money earned during the first forty hours.

EASY

Diploma

IMPORTANT

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 7 - Modelling Relationships between Two Data Sets: Statistics for Bivariate Data>Exercise 7F>Q 2

A factory worker is paid at a daily rate of $$ 10$ per hour for the first forty hours of work per week and $$ 15$ per hour for any extra time (overtime).

Write down an equation for the money earned on overtime.

EASY

Diploma

IMPORTANT

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 7 - Modelling Relationships between Two Data Sets: Statistics for Bivariate Data>Exercise 7F>Q 2

A factory worker is paid at a daily rate of $$ 10$ per hour for the first forty hours of work per week and $$ 15$ per hour for any extra time (overtime).

Draw a graph for the wages earned during a $60$ hour working week.

EASY

Diploma

IMPORTANT

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 7 - Modelling Relationships between Two Data Sets: Statistics for Bivariate Data>Exercise 7F>Q 3

A ski resort saw snow fall at a rate of $6 cm$ per hour for the first two hours and then at $4 cm$ per hour for the next three hours.

Draw a graph to show the snowfall.

EASY

Diploma

IMPORTANT

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 7 - Modelling Relationships between Two Data Sets: Statistics for Bivariate Data>Exercise 7F>Q 3

A ski resort saw snow fall at a rate of $6 cm$ per hour for the first two hours and then at $4 cm$ per hour for the next three hours.

Draw a line on your graph to estimate when there will be

20 cm

of snow. Write your answer under the graph.

Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Modelling Relationships between Two Data Sets: Statistics for Bivariate Data, Exercise 22: Exercise 7F

Natasha Awada Mathematics Solutions for Exercise - Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Modelling Relationships between Two Data Sets: Statistics for Bivariate Data, Exercise 22: Exercise 7F

Questions from Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Modelling Relationships between Two Data Sets: Statistics for Bivariate Data, Exercise 22: Exercise 7F with Hints & Solutions

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