Merryn Horrocks

Find the equation of a line through 2 points. The line is not vertical.

Find the equation of a line passing through two points in the form y=mx+b. The question is set up so that m and b will be integers.

Find the gradient of a line through 2 given points. Part of HELM Book 2.5.2.

Find the gradient of a line through 2 points. The line is not vertical.

Exercises for HELM Book 2.5.1

Identify the gradient and y-axis intercept of a random non-vertical line.

Given one of ax+b, a/x, x^(1/a), a, is it a straight line.  a is a randomised integer.

State the general form of the equation of a straight line explaining the role of each of the terms in your answer.

Compare the gradients of 3 lines and choose the steepest. Part of HELM Book 2.5.1.

Find the gradients of 3 lines. Part of HELM Book 2.5.1.

Find the vertical intercept of 4 lines. Part of HELM book 2.5.1

Describe the effect of changing the value of a constant term in a linear function. Part of HELM Book 2.5.1.

Exercises for HELM Book 2.4.3

Identify whether a function is odd, even or neither from its graph. Part of HELM Book 2.4.3.

Given the period of a repeating function, determine the number of repeats in a given amount of time. Part of HELM Book 2.4.

Exercises for HELM Book 2.4.1

Given a piecewise function determine whether the limit exists at two points. Part of HELM Book 2.4.1.

Compute the inverse of a linear or hyperbolic function. Part of HELM book 2.3.

Find the inverse of a linear function. Part of HELM book 2.3.

Determine whether three graphs are functions or not. Part of HELM Book 2.3.

Given parametric equations, graph the function and obtain an explicit equation. Part of HELM Book 2.2.2.

Use parametric equations to find x for a given value of y. Part of HELM Book 2.2.2.

Graph x^2 - y^2 = 1 from a parametric definition. Part of HELM Book 2.2.2.

Exercises for HELM Book 2.2.1

Identify the value that is not part of the domain of a function. Part of HELM Book 2.2.1.

Draw a graph of y=x^3 by plotting points. Part of HELM book 2.2.1

Graph a linear or quadratic function and state its domain and range. Part of HELM Book 2.2.1.

Asked to define a function term, e.g. domain, or x(t). Part of HELM book 2.2.1.

Graph the function y=x^2+2 on [-3,3] by plotting points. State the domain and range. This is part of HELM Book 2.2.1.

Evaluate a composition of functions for a randomised numerical input. The functions are 3t+2 and t+3. This is part of HELM Book 2.1.3.