1197 results for "function".
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Question in Foundation Maths
This uses an embedded Geogebra graph of a polar function with random coefficients set by NUMBAS.
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Exam (20 questions) in Evi's workspace
A portfolio of NUMBAS questions created for first year Natural Sciences students. The questions cover the topics:
- Linear functions
- Quadratic functions
- Differentiation
- Integration
- Explonatial and logarithms
- Further differentiation
- Further Integration
- Trigonometric Functions
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Question in HELM books
Describe the effect of changing the value of a constant term in a linear function. Part of HELM Book 2.5.1.
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Question in HELM books
Characterise the cosh function as continuous, many-to-one, even, and find the limit as x approaches 1. Part of HELM book 2.4.3.
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Question in HELM books
Identify whether a function is odd, even or neither from its graph. Part of HELM Book 2.4.3.
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Question in HELM books
Given the period of a repeating function, determine the number of repeats in a given amount of time. Part of HELM Book 2.4.
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Question in HELM books
Given a piecewise function determine whether the limit exists at two points. Part of HELM Book 2.4.1.
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Question in HELM books
Given a linear or a quadratic function and asked whether it is continuous. Part of HELM Book 2.4.
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Question in Demos
The student is shown a plot of a mystery function. They can enter values of $x$ check, within the bounds of the plot.
They're asked to give the formula for the function, and then asked for its value at a very large value of $x$.
A plot of the student's function updates automatically as they type. Adaptive marking is used for the final part to award credit if the student gives the right value for their incorrect function.
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Question in HELM books
Compute the inverse of a linear or hyperbolic function. Part of HELM book 2.3.
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Question in HELM books
Find the inverse of a linear function. Part of HELM book 2.3.
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Question in HELM books
Determine whether three graphs are functions or not. Part of HELM Book 2.3.
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Question in HELM books
Given parametric equations, graph the function and obtain an explicit equation. Part of HELM Book 2.2.2.
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Question in HELM books
Identify the value that is not part of the domain of a function. Part of HELM Book 2.2.1.
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Question in HELM books
Graph a linear or quadratic function and state its domain and range. Part of HELM Book 2.2.1.
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Question in HELM books
Asked to define a function term, e.g. domain, or x(t). Part of HELM book 2.2.1.
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Question in HELM books
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.
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Question in HELM books
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.
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Question in HELM books
Given f(x)=(x+a)/(x+b) and g(x) = 1/x, compute f(g(x)) and g(f(x)).
a and b are randomised integers.
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Question in HELM books
Given 2 randomised functions f(x) (linear) and g(x) (quadratic), find one of f(f), f(g), g(f) or g(g) at a randomised integer x-value
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Question in HELM books
Given 2 randomised functions f (linear) and g (quadratic), find one of f(f), f(g), g(f) or g(g)
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Question in MASH Bath: Question Bank
Using given information to complete the equation $c= A \cos{ \left( \frac{2 \pi}{P} \left( t-H \right) \right) }+V $ that describes the concentration, $c$, of perscribed drug in a patient's drug over time, $t$. Calculating the maximum concentration and the concentration at a specific time.
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Question in MASH Bath: Question Bank
Calculating the rate of change of the temperature during a chemical reaction using the chain rule in a function of the form $T=ate^{-t}$, and finding the maximum temperature of the reaction.
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Question in MASH Bath: Question Bank
Using basic derivatives to calculate the gradient function of a hill $y=-e^{x}+b\ln{\left(x\right)+c$, and then substituting values to find the gradient at specific distance from the sea.
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Question in MASH Bath: Question Bank
Finding the stationary point (maximum) of a quadratic equation in a contextualised problem.
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Question in MASH Bath: Question Bank
Calculating the gradient of a quadratic equation at a specific point and finding the stationary point (maximum) in a contextualised problem.
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Question in MASH Bath: Question Bank
The relationship between the frequency of an allele A, $x$, at a genetic locus in a diploid population and the fitness of a population with this frequency of allele A, $w$, is described by the function $w=ax^2+x(b-x)+c(b-x)^2$ . The aims are (a) ti simplify the algebraic expression, (b) calculate the fitness of a population with a given allele A frequency, and (c) calculate the allele A frequency when the fitness of the population is given.
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Question in MASH Bath: Question Bank
The proportion of the sodium carbonate, $p$, which has dissolved by time $t$ seconds is given by the formula $ p=\frac{bt-at^2}{c}$. The aim is to calculate the proportion of sodium carbonate in a solution at a given time and vice versa.
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Question in MASH Bath: Question Bank
Estimating the proportion of sodium carbonate in a solutionat a specific timepoint and vice versa, depicted as a quadratic graph.
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Question in Skills Audits for Maths and Stats
Match the graphs to the functions. No randomisation. Multiple choice.