AI Function Solver

Domain, range, inverse, compose. Any function, solved.

Find the domain, range, inverse, or composition of any function step-by-step on AskSia. Every solve graphs the function with intercepts, asymptotes, and key points labeled, so the algebra finally matches the picture.

Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
Quick Answer

What is the AskSia function solver?

The AskSia function solver is an AI tool that analyzes any function f(x): finding its domain, range, inverse, composition with another function, and key behavior (one-to-one, even, odd, increasing, decreasing, bounded). Every solve returns a step-by-step worked solution with the function graphed and intercepts, asymptotes, and turning points labeled. Useful for Algebra 2, Pre-Calc, and Calc 1, where function analysis is the foundation for everything that follows.

98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver

Every function question, answered with the graph.

Domain, range, inverse, composition, transformations, one-to-one. AskSia handles every question your textbook asks about a function, with the graph drawn so the answer makes visual sense.

Domain found correctly every time

AskSia identifies every restriction: division by zero, even roots of negatives, log of non-positives, and combinations of these. The domain is given in interval notation and set notation, with the excluded points labeled on the graph.

Restrictions flagged

Range from the graph and algebra

Range is found by analyzing the function's behavior: maximum and minimum values, asymptotes, end behavior. AskSia shows both the algebraic argument and reads the range off the graph for confirmation.

Range double-checked

Inverse with swap and solve

To find f-inverse(x), AskSia swaps x and y, solves for y, and checks the result by composing f with f-inverse and showing it equals x. The original and inverse functions are both graphed, with the line y = x for reference.

Inverse, with check

Composition of functions

(f composed with g)(x) is computed by substituting g(x) into f wherever x appears. AskSia shows the substitution clearly, simplifies, and notes which composition is associative or commutative.

Composition step-by-step

Transformations identified

Shifts (horizontal, vertical), stretches (vertical, horizontal), and reflections (over x-axis, y-axis) are identified from the function's form. AskSia graphs both the parent and transformed functions side-by-side.

Transformations explained

Piecewise and absolute-value

Piecewise functions and absolute-value functions are handled with each piece evaluated and graphed separately. Open and closed dots are placed correctly at the boundary points.

Piecewise supported
How It Works

Three taps to a function analyzed.

Step 01

Capture the function

Snap a photo, paste the function, or type it into the built-in calculator. AskSia reads any notation, including piecewise definitions and absolute values.

Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02

Ask the question

Tell Sia what you need: domain, range, inverse, composition, or a specific transformation. AskSia handles each request with its own step-by-step worked solution.

Calculus · Step 4 of 4
1.4s
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03

See the graph and answer

AskSia auto-generates the graph with intercepts, asymptotes, and key points labeled. The algebraic answer appears alongside, with a visual confirmation.

Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
Available On

Solve anywhere
you study.

Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.

Web App

Full study studio

Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.

Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
app.asksia.ai/solver
Hi! What are we studying today?
Ask about your homework, lecture, or readings...
Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App

Snap & solve, anywhere

Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.

One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
Auto-sync solves with your Web library
Offline review of saved solutions and flashcards
AskSia
+
What can I do for you?
Homework solver
Live transcribe
File summary
Snap
YouTube
Flashcard
Calc
98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases

Every function question, covered.

📐

Algebra 2 function intro

First-time function topics: domain, range, evaluating f(a), function notation. AskSia walks through each step clearly, with the graph showing what's happening.

Algebra 2
⚛️

Pre-Calc deep dives

Inverse functions, composition, transformations, even and odd, one-to-one tests. The full Pre-Calc function unit, with graphs and algebra paired on every solve.

Pre-Calc
🧪

Calculus 1 prerequisites

Calc 1 starts with limits of functions, which assumes solid function analysis. AskSia covers the function side completely so the calculus lands on solid ground.

Calc 1 prereq
🧬

Piecewise functions

Piecewise functions with multiple pieces, each on its own interval. AskSia evaluates each piece, graphs them together, and places open and closed dots at boundary points.

Piecewise
💻

Function transformations

Given y = a f(b(x minus h)) + k, identify the shift, stretch, and reflection. AskSia graphs the parent function and the transformed function side-by-side, with each operation labeled.

Transformations
🎯

SAT, ACT, AP function problems

Function problems are SAT and ACT regulars and AP staples. After any solve, generate practice problems at the right difficulty level for your target exam.

SAT, ACT, AP
Compare

AskSia vs. ChatGPT,
Photomath & Symbolab.

General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.

Feature comparison between AskSia Solver and alternatives
FeatureAskSia SolverChatGPTPhoto Solvers
Solution accuracy✓ 98%~70-85%, hallucinations~90%, math only
Auto-generated diagrams✓ Every solveInconsistent / brokenGraphs only, math-only
Step-by-step explanations✓ Numbered + plain EnglishInconsistent depth✓ Math steps
Subject coverage✓ Math, Physics, Chem, Bio, CS, Econ✓ Wide but unverifiedMath only
Photo input✓ Handwriting + diagrams + codePhotos OK, weak on handwriting✓ Math photos only
Answer verification✓ Self-checked before displayNo verificationMath engine only
Tutor follow-ups✓ Hints, alt methods, ELI5✓ General chatNot available
Practice and flashcards✓ One-tap from any solveManual promptingNot available
Code debugging✓ Python, Java, C++, SQL...✓ YesNot available
Free to start✓ Daily solves, no cardLimited model accessSteps locked behind paywall
FAQ

Frequently asked questions.

How does AskSia find the domain of a function?
AskSia identifies every restriction on x: denominators that can't be zero (x ≠ ...), even roots that require non-negative inputs (the expression under the root must be ≥ 0), logarithms that require positive inputs, and any combination of these. Each restriction is solved as a separate inequality, the results are intersected, and the domain is given in interval notation and set-builder notation. The excluded points are marked on the graph with open circles or vertical asymptotes.
How does AskSia compute the inverse of a function?
AskSia uses the swap-and-solve method: replace f(x) with y, swap x and y, then solve for y to get f-inverse(x). AskSia shows every algebra step in the solve-for-y part, then verifies the result by composing: showing that (f composed with f-inverse)(x) = x and (f-inverse composed with f)(x) = x. The original and inverse functions are graphed together, reflected across the line y = x, which is the visual signature of inverse functions.
Can AskSia compose two functions?
Yes. To find (f composed with g)(x), AskSia substitutes g(x) into f wherever x appears, then simplifies. The substitution is shown explicitly so you can see how the inner function flows into the outer. AskSia notes whether (f composed with g) equals (g composed with f) for the specific functions (it usually doesn't, since function composition is not generally commutative), with a counterexample value to confirm.
Does AskSia handle piecewise functions?
Yes. Piecewise functions are handled with each piece evaluated and graphed on its own interval. For f(x) defined as one expression on x < 0 and another on x ≥ 0, AskSia computes domain, range, continuity, and any transformations piece-by-piece, then combines. Open and closed circles are placed correctly at the boundary points based on whether the inequality is strict, which matters for continuity questions on AP exams.
How accurate is AskSia?
AskSia hits 98% accuracy on standard high school and college coursework, measurably higher than ChatGPT, Photomath, and Symbolab on the same problem sets. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
Start Today

Any function. Analyzed, graphed, explained.

Join 2M+ students using AskSia to find the domain, range, inverse, and composition of any function, with the graph drawn and key features labeled on every solve.

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