825 results for "function".

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• Rational functions 2
Needs to be tested
Question
Evaluating y intercept and horizontal and vertical asymptote for a rational function.
• Rational functions
Needs to be tested
Question
Finding asymptotes and using the y-intercept to find variables.
Needs to be tested
Question
Finding parameters of a factorised quadratic based on x-intercepts at vertex. Function has one intercept at origin and one at a positive integer value. Constant multiplier is randomised and requires vertex in order to calculate.
• Linear Functions 1
Needs to be tested
Question
Rearrange to give for y = mx + c, find gradient and realise that a parallel line has the same gradient (find x_intercept)
• Functions - Intersections
Needs to be tested
Question
Finding x and y intercapts and intersections of two graphs, one linear one exponential.
• Evaluating a function 1
Needs to be tested
Question
Substituting a (negative) value into a function involving a quqdratic and 1/x
• Question

No description given

• Lennard-Jones potential
Needs to be tested
Question
Conceptual question, assess the form of potential functions.
• Question

A function of the form (ax+b)/(x+c) is plotted. Student is asked to calculate the shaded area. Area is both above and below the x-axis.

• Question

A function $f(x) = cln(ax^2+bx) -x$ is sketched and tangent is also drawn. The equation of the tangent line is asked for and $x$-coordinate for horizontal tangent is asked for. Calculator.

• Question

Q1 is true/false question covering some core facts, notation and basic examples.  Q2 has two functions for which second derivative needs to be determined.

• Question
You need to minimize the budget spent on two products for a given Stone-Geary utitility value.
• Question
From a given utility function we calculate the corresponding demand functions for two products
• Question
You need to maximize a Stone-Geary utility function when given the prices for two products and the available budget.
• Question
You need to calculate elasticities of demand associated to a Stone-Geary utility function.
• Question

Calculate the marginal and average cost for a given cost function. Find the corresponding startup/shutdown price.
Maximize the profit function at a given price.

• Question
• Question

Find the area, first moment of area, and coordinates of a general spandrel.  The area may be above or below the function.

• Question in Calculus

A question to test basic differentiation of functions, including powers of x, trig, log and exponential functions.

• Question in How-tos

Use the CSS preamble to give a bit more space between multiple choice answers.

• Question in How-tos

Update: you can now use the conditional visibility button to do this more easily - see the documentation.

If the statement or advice for your question differs greatly depending on a random variable (for instance, if you're picking from a selection of scenarios), you only want to show content for the relevant scenario.

This question shows one way of doing that.

• Question in How-tos

This question is out of date: use the currency function instead.

• Random strings with randexp
Should not be used
Question in How-tos

The function randexp, provided by an extension, generates a random string matching the given regular expression.

• Question in How-tos

Display a number like "1234" as "1,234".

This question is out of date: the formatnumber function can format numbers using several different notational styles.

• Question

Find the inverse of a composite function by finding the inverses of two functions and then the composite of these; and by finding the composite of two functions then finding the inverse. The question then concludes by asking students to compare their two answers and verify they're equivalent.

• Question

A quadratic function is given. The graph of the function is drawn with three coordinates on the graph, without any x or y ticks.  The $x$ coordinate is given for a couple and $y$ coordinate given for the third, and coordinates are asked for.

• Question

A graph of an (invertible) cubic is given. The question is to determine values of $f$ from graph.

• Question in Archive

Find the inverse of a composite function by finding the inverses of two functions and then the composite of these; and by finding the composite of two functions then finding the inverse. The question then concludes by asking students to compare their two answers and verify they're equivalent.

• Question in Archive

No description given

• Question
A simple test of knowledge of the EFS of rectangular pulse train with a given duty cycle which leads to the Fourier transform as the period T tends to infinity.