Graphing Cubic Functions Worksheet With Answers Example 1 recognising cubic graphs Identify the correct graph for the equation y x3 2x2 7x 4 y x 3 2 x 2 7 x 4 Identify linear or quadratic or any other functions Graph A is a straight line it is a linear function Graph B is a parabola it is a quadratic function 2 Identify the cubic function checking if the x 3 term
The functions that learners will be plotting increase in difficulty as the worksheet progresses from y x 3 1 to y x 3 2x 2 4 and there are six functions to plot in total In each case the x values range from 2 to 2 and the table of values is already constructed for students alongside a separate pair of axes Name Exam Style Questions Ensure you have Pencil pen ruler protractor pair of compasses and eraser You may use tracing paper if needed Guidance
Graphing Cubic Functions Worksheet With Answers
Graphing Cubic Functions Worksheet With Answers
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Graphing Cubic Functions Worksheet Pdf Function Worksheets
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Graphing And Transformations Of Cubic Functions Worksheet Answers
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Cubic equations A cubic equation has the form mc TY cubicequations 2009 1 ax3 bx2 cx d 0 where a 6 0 All cubic equations have either one real root or three real roots In this unit we explore why this is so Then we look at how cubic equations can be solved by spotting factors and using a method called synthetic division 9 Given the function 7 describe the domain range end behavior intervals where graph is positive intervals where graph is negative intervals where graph is increasing and intervals where graph is decreasing 10 Write an equation for each transformation of the parent function
To find the value of y when x 6 just plug 6 in for x into the original function and solve as follows The cube root of 8 is 2 Since the cube root of 8 is 2 you can conclude that when x 6 y 2 and you know that the point 6 2 is on the graph of this cubic function 6 2 is one of the points this function passes through You can Draw the graph of the mass function recognizing that the graph is a vertical stretch of the graph of the parent cubic function by a factor of 7 82 Then draw the horizontal line m 75 and estimate the value of r where the graphs intersect The graphs intersect where r so the radius of the steel ball bearing is about 1 3 cm Reflect 7
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Worksheet by Kuta Software LLC PreAP Algebra 2 Graphing Cube Roots and Cubic Functions Name 1 Sketch the graph of each function by using three key points 1 y 3 8x 27 x y 8 6 4 2 2468 8 6 4 2 2 4 6 8 2 y 4 Cubic graphs worksheets for year 9 and year 10 for 9 1 GCSE Maths for the UK national curriculum Each cubic graphs worksheet involves quadratic graphs and linear graphs Cubic graphs worksheet 1 and cubic graph worksheet 2 contain questions on quadratic graphs Cubic graphs worksheet 1 works at grade 4 and cubic graphs worksheet 2 works at grade 8
The general form of a cubic function is y ax 3 bx cx d where a b c and d are real numbers and a is not zero We can graph cubic functions by plotting points Example Draw the graph of y x 3 3 for 3 x 3 Use your graph to find a the value of y when x 2 5 b the value of x when y 15 Worksheet by Kuta Software LLC Kuta Software Infinite Precalculus Graphs of Polynomial Functions Name Date Period 1 For each function 1 determine the real zeros and state the multiplicity of any repeated zeros 2 list the x intercepts where the graph crosses the x axis and those where it does not cross the
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Graphing Cubic Functions Worksheet With Answers - To find the value of y when x 6 just plug 6 in for x into the original function and solve as follows The cube root of 8 is 2 Since the cube root of 8 is 2 you can conclude that when x 6 y 2 and you know that the point 6 2 is on the graph of this cubic function 6 2 is one of the points this function passes through You can