This manual is for MAT-FPX1200 Assessment 1, start to submission. The opening deliverable in Pre-Calculus usually asks what can be said about a function rather than what its answer is. Describe the domain, locate every feature, and explain what the behavior means where the function came from a real situation. Completeness is the currency here, not speed. What follows is our tutors' method, a structure keyed to the rows of the guide, and an annotated excerpt. Prefer to pass it across? A premium original sample for the function you were given arrives in 24 to 48 hours, revised free until the guide is satisfied. Your courseroom may print this as MAT FPX 1200 Assessment 1 or MAT1200 Assessment 1; it is the same deliverable, and MAT-FPX1200 Assessment 1 is what this manual walks through.
One honesty note before the manual: Capella revises courses and scoring guides over time, so always write to the exact scoring guide attached to your assessment in the courseroom. The course identity above is verified on capella.edu; the method and structure below are our tutors' approach to it, not Capella's official rubric text.
How MAT-FPX1200 Assessment 1 is scored
FlexPath records levels rather than scores. Each row of the guide is placed at one of four, and the wording attached to each is what to write toward:
| Level | What it means on a function analysis deliverable |
|---|---|
| Distinguished | The domain is derived rather than declared, every feature is named and located including the ones the algebra hides, the graph is described well enough to survive without the figure, and the behavior is read back into the situation. The additional move is stated inside the row; find it and make it. |
| Proficient | The features are correct and correctly located, and the description is accurate. Sound work with the situation left out of it. |
| Basic | A partial description, usually the asymptotes without the discontinuity or the graph without the words. The commonest resting place for a first attempt. |
| Non-performance | A required feature is absent altogether. Absence, not thinness, is what drops a row to the floor here. |
Description is graded as coverage, so build a fixed list and work it every time: domain, intercepts, vertical asymptotes, horizontal or slant behavior, removable discontinuities, intervals of increase and decrease, end behavior. A response missing one item has answered part of the question rather than answered it wrongly, and the row cannot tell the difference.
The MAT-FPX1200 Assessment 1 method, step by step
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Turn each criterion into a heading first
Read the guide before the function. A row asking you to analyze behavior wants the whole list whether or not the prompt spells it out, so put the list under the heading and fill it in rather than writing prose and hoping.
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Derive the domain before you draw anything
Set every denominator to zero, check every radicand, and check what the situation itself forbids. Then state the domain in words and in interval notation. A figure produced before the domain is known usually shows a curve through a point the function does not have.
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Factor, then say what the factoring did
Cancelling a shared factor removes a point from the domain and leaves a hole behind, and the hole belongs in your description at its height. Simplification that quietly deletes a feature is the most expensive habit in this deliverable.
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Locate each feature and give it coordinates
An asymptote is a line, so name the equation of it. A hole is a point, so give both coordinates. An intercept is a point too. Vague location costs the same as a missing feature, since neither can be checked.
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Test the description instead of substituting a root
Verification here means evaluating on each side of a vertical asymptote and confirming the sign matches the behavior you claimed, then evaluating either side of a hole to show the values closing on the height you named.
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Read the behavior back into the situation
Where the function models something, say what its asymptote or its end behavior means in that context, in units. Then self-score every row against the guide and submit early, allowing two business days for evaluation.
A structure that maps to the criteria
These figures are planning targets our tutors use when analyzing a function, not rules; the guide on your assessment decides the emphasis.
| Section | What it must do | Guide word target |
|---|---|---|
| The function | The expression, the family it belongs to, and where it came from if a situation produced it. | ~130 words |
| The domain | Every excluded value with the reason for excluding it, stated in words and in interval notation. | ~170 words |
| Key features | Intercepts, asymptotes, removable discontinuities, and intervals of increase and decrease, each located. | ~250 words |
| The graph in words | A labeled figure with scaled axes, matched by a paragraph that would stand alone without it. | ~200 words |
| Verification and meaning | Values tested either side of each discontinuity, then the behavior read back in the units of the situation. | ~200 words |
| Format and sources | Exact values kept exact, technology named with what was entered, sources in current APA. | as needed |
Annotated sample excerpt
An original model from our writers, at the register the guide's highest level describes. Read the moves, then reproduce them yourself.
The maker space pays 480 dollars a month for the printer lease and 2.60 dollars in filament per part, so total cost is C(q) = 480 + 2.6q and average cost per part is A(q) = (480 + 2.6q) divided by q, where q is a whole number of parts and the domain excludes zero because no average exists over no parts.1 A(q) has a vertical asymptote at q = 0 and a horizontal asymptote at A = 2.6, since the leading behavior of numerator over denominator settles on the ratio of the coefficients, and the function decreases across the whole permitted domain.2 In the units of the situation that horizontal asymptote is a floor: average cost falls from 7.40 dollars at 100 parts to 3.80 dollars at 400, and it approaches 2.60 dollars without ever reaching it, because the lease never disappears.3
- 1The domain exclusion is derived and justified in the same clause that introduces it, and the situation is allowed to narrow it further to whole parts.
- 2Both asymptotes are given as equations rather than described in words, and the reason for the horizontal one is stated. Location without an equation cannot be checked.
- 3The asymptote is read back as a cost floor with figures at two named outputs. That translation is usually a separate row from the algebra above it.
The full premium sample for your exact assessment, written fresh to your scoring guide and issue, is free to request. Study it, revise it into your own voice, and submit work you understand.
The five mistakes that cost Distinguished
- A cancelled factor left unmentioned. Simplifying away a shared factor removes a point from the domain, and the hole belongs in the description at its height.
- Asymptotes described instead of located. A line has an equation, and a row asking where a feature sits cannot credit a paragraph that only says it exists.
- A graph pasted in with no paragraph. If the figure reproduces poorly the description is all that survives, so the words have to carry the whole answer.
- The domain declared rather than derived. Stating an interval with no reason attached leaves the row that asked for the reasoning empty.
- A feature list stopped early. An answer with the asymptotes and no end behavior is incomplete rather than wrong, and it scores as incomplete.
Pre-submission checklist
- Each criterion carrying its own heading before any function is analyzed
- Domain derived from denominators, radicands, and the situation, in words and interval notation
- Every feature located with coordinates or an equation, including removable discontinuities
- A figure with labeled, scaled axes and a paragraph that stands without it
- Values tested either side of each discontinuity to confirm the claimed behavior
- Behavior read back into the situation in units, every row self-scored before submitting
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