Cubic Graph Here we will learn about cubic graphs, including recognising and sketching cubic graphs. We will also look at plotting and interpreting cubic graphs. There are also cubic graphs worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.
A cubic graph is defined as f x x x x( )≡ + − +3 210 8 , x∈ . a)By considering the factors of 8, or otherwise, express f x( )as the product of three linear factors. b)Sketch the graph of f x( ). The sketch must include the coordinates of any points where the graph of f x( ) meets the coordinate axes.
The Corbettmaths Practice Questions on Cubic Graphs
Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser
5 Cubics Expand 3 brackets, use factors to sketch cubic curves, identify the y-intercept from the equation of the curve.
Master the art of cubic graphs! This worksheet guides you through understanding and sketching cubic equations. Explore key features like turning points, intercepts, and symmetry. Perfect for high school math students, this resource provides practice problems and solutions to solidify your understanding of cubic functions.
This Cubic Graphs - Recognising, Sketching and Interpreting Worksheet helps students understand cubic function graphs. It covers recognizing cubic graphs, labelling features, interpreting values, matching graphs and equations, and sketching a cubic function graph.
Three pairs of worksheets to help students understand cubic graphs. Learn to identify or sketch cubic graphs given their equations. Factorise a cubic expression, draw its graph and use it to identify the roots of a cubic equation. The answers are also provided. For more resources like this please visit the SKILLSHEETS Shop
Horizontally translated 4 units left, shrunk vertically by half, then vertically translated 2 units down. Shrunk horizontally by one-third, then vertically translated 13 units up. Horizontally translated 7 units right, then reflected over the x-axis. 11) Write a cubic function in the form ( ) ( ) b) d)
Practice sketching quadratics, cubics, reciprocal graphs, piecewise functions, and graph transformations. Includes exercises and problems.
Here we will learn about sketching graphs, including sketching straight line graphs, quadratic graphs, cubic graphs, reciprocal graphs, exponential graphs and trigonometric graphs. There are also sketching graphs worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.
Information The marks for each question are shown in brackets use this as a guide as to how much time to spend on each question.
To sketch the graph of a function, find the points where the graph intersects the axes. To find where the curve intersects the y-axis substitute x = 0 into the function.
This Cubic Graphs - Recognising, Sketching and Interpreting Worksheet helps students understand cubic function graphs. It covers recognizing cubic graphs, labeling features, interpreting values, matching graphs and equations, and sketching a cubic function graph.
Identify the following graphs as being either linear, quadratic, cubic or reciprocal: Step 1: Identify the linear graphs – remember these are simply straight lines.
Cubic Graphs DO EXAMPLE: Complete the following table for the equation = x3, for -3 ≤ ≤ 3: -3 -2 -1 0 1 2 3 Draw the graph of y = x3 on the grid:
Cubic graphs Enhance your understanding of cubic graphs with our GCSE Maths worksheets. Dive into the world of cubic functions, their key features, and how to sketch and interpret cubic graphs. These resources will help you master this essential topic and excel in your exams. Start practicing today!
Example 1 Sketch the graph of y = (x − 3)(x − 1)(x + 2) To sketch a cubic curve find intersects with both axes and use the key points above for the correct shape.
This Plotting cubic graphs Worksheet involves pupils using tables of values to generate coordinate pairs to plot six functions on a variety of scaled axes, with x values ranging from -2 to 2.