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Understanding the general facts about polynomials of degree n.

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Given a graph of the form either a.cos(bx) or a.sin(bx), identify the amplitude and period.

Drag a point into the specified quadrant. Uses jsxgraph

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Homwork Set.  Covers graphical, and trigonometric methods of vector addition.

Graphing $y=ab^{\pm x+d}+c$

This question uses a Geogebra applet to solve a linear program with two variables using the graphical method. It contains three steps:

1. Construct the feasible area (polygon) by adding the constraints one by one. The students can see what happens when the constraints are added.
2. Add the objective function, and the level set of the objective value is shown, as well as its (normalised) gradient.
3. Compute the optimal solution by moving the level set of the objective around.

Drag points on a graph to the given Cartesian coordinates. There are points in each of the four quadrants and on each axis.

Find the equation of the line that passes through given points

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Compute a table of values for a quadratic function. A JSXgraph (the graph paper) plot shows the curve going through the entered values.

Compute a table of values for a quadratic function. A JSXgraph (the graph paper) plot shows the curve going through the entered values. The student input is now disconnected from the graph so that they slide the points usually after they input the values and the answer fields are not updated.

This question allows you to practice identifying the coordinates of points on graphs.

This question allows you to practice identifying the coordinates of points on graphs.

A random graph is drawn and students are asked whether it represents a function or not.

A random graph is drawn and students are asked whether it represents a function or not.

Students are supposed to use Excel (or similar) to find the answers (e.g., enter coordinates of two points then plot and add trendline).

Uses an embedded Geogebra graph of a line $y=mx+c$ with random coefficients set by NUMBAS.

This uses an embedded Geogebra graph of a line $y=mx+c$ with random coefficients set by NUMBAS.

For the graphs in HELM Book 2 Figure 30, identify which are one-to-one, and which are many-to-one.

Alternative version of Graphs: Match graph to its adjacency matrix, where the student must match an adjacency matrix to a graph.

The student is shown one graph, and asked to type the adjacency matrix

Practicing skills required for sketching line graphs depicting the temperature of a mixture according to time. The question includes: a) choosing the accurate sketch from a list, and b) identifying the initial temperature of the mixture. 

Practicing skills required for sketching line graphs depicting DNA melting temperature according to the percentage of GC content. The question includes: a) identifying the  vertical intercept, b) choosing the accurate sketch from a list, and c) interpreting elements of the sketch in context. 

Interpreting line graphs depicting the melting temperature of DNA depending on the percentage of GC content. Estimating the melting temperature given a GC percentage and vice versa.