Free online math solver with graphing capabilities. Use this function grapher to solve equations, plot graphs online, graph y= equations, and visualize functions instantly. Get step-by-step math solver help for intercepts, vertex, domain and range, asymptotes, extrema, and intersections.

Instant Math Solving & Graphing

Solve and graph any function in seconds with accurate plotting and key features. Plot a function, graph y= equations, and trace points on the curve to read exact coordinates.

Value Tables

Get organized tables showing x and y coordinates for easy analysis. Use the table of values generator to verify solutions, check points, and compare functions.

Find Intercepts & Solutions

Math solver automatically calculates x-intercepts, y-intercepts, roots and zeros, and extrema points. See solutions highlighted on the graph and listed clearly.

Multiple Functions

Graph and solve multiple functions simultaneously and find intersection points. Compare equations side-by-side and solve intersections visually.

Domain & Range

Identify domain and range from the graph, including restricted values and intervals for common function types solved step-by-step.

Vertex & Transformations

For quadratics and other functions, solve for the vertex and axis of symmetry and understand transformations like shifting left, right, up, and down.

Asymptotes & Turning Points

Detect vertical and horizontal asymptotes for rational functions and highlight turning points, maxima, and minima with our math solver.

Zoom, Pan & Trace Solutions

Zoom and pan to explore details, then trace the curve to read solution coordinates and inspect behavior near key points.

How to solve and graph a function

1

Enter your equation to solve

Type a function like $y = x^2 + 3x + 2$ (or paste it). You can also upload a photo to the math solver.

2

Press Send or Enter

Math solver generates the graph instantly and confirms the curve matches your equation with step-by-step solutions.

3

Turn on key features

In your prompt, say: ‘Solve and graph this, showing intercepts, vertex, extrema, domain and range, asymptotes, and intersections,’ so the math solver includes all key points automatically.

4

Use the table of values

Check a few $x$ values in the table to verify solution coordinates and build confidence in the graph.

Supported Math Topics

Math Solver Function Grapher Graph y= Equations Plot a Function Solve Equations Online Linear Equations Quadratic Functions Polynomials Rational Functions Exponential Functions Logarithmic Functions Trigonometry Domain and Range Intercepts Vertex and Axis of Symmetry Turning Points (Maxima and Minima) Asymptotes Multiple Functions and Intersections Table of Values Inequalities (Shading) Calculus (Derivatives and Integrals) Statistics

Examples you can solve and paste

Linear

y = 2x + 5

Quadratic

y = x^2 - 4x + 1

Cubic

y = x^3 - 2x

Rational

y = (x + 1) / (x - 2)

Exponential

y = 2^x

Logarithmic

y = log(x)

Trigonometry

y = sin(x)

Circle

x^2 + y^2 = 16

Inequality

y >= x^2 - 4

Common math solver tasks

Solve for x-intercepts and y-intercepts

Use the math solver intercept tool to locate where the graph crosses the axes. Solutions and intercepts are also listed in a table for quick copy.

Solve for vertex and axis of symmetry

For quadratic functions, the math solver shows the vertex and axis of symmetry to understand the minimum or maximum point and the graph’s symmetry.

Estimate slope at a point

Trace nearby points or use slope tools to understand the steepness and direction at a specific x value when solving functions.

Find maxima, minima, and turning points

Math solver highlights extrema to see where the curve changes direction and identifies local maximum and minimum solution points.

Solve intersections of two graphs

Graph multiple functions at once and enable intersections to solve where two equations meet with step-by-step math solver help.

Check solutions with a table of values

Generate a value table to validate solution points and confirm your graph matches expected coordinates.

Identify asymptotes and end behavior

For rational and exponential functions, math solver shows asymptotes and inspects the curve as x grows or approaches restricted values.

Understand transformations

Compare functions like $y = x^2, y = (x-2)^2$, and $y = x^2 + 3$ to see shifts and changes in shape with our math solver.

Frequently Asked Questions

What is MathGPT Math Solver & Graphing Calculator?

MathGPT is a free AI-powered math solver that helps students solve and visualize mathematical functions. Simply type or upload a function, and get instant graphs with step-by-step solutions, intercepts, and value tables.

What types of functions can the math solver handle?

The math solver can solve and graph linear functions, quadratic equations, polynomials, exponential functions, logarithmic functions, trigonometric functions, and more. It supports standard mathematical notation and LaTeX formatting.

How do I solve for intercepts and key points?

Simply enter your function and the AI math solver will automatically calculate and display x-intercepts, y-intercepts, vertex points, and extrema. All solutions and key features are shown both on the graph and in an organized table.

Can the math solver handle multiple functions at once?

Yes! The math solver can solve and graph multiple functions simultaneously with different colors. It will also find and highlight intersection solution points between functions.

Is the math solver free to use?

Yes, MathGPT offers free daily credits for the math solver and graphing calculator. Sign up for unlimited access and advanced features including video explanations and homework help.

Is this a function grapher I can use to plot a function online?

Yes. You can enter y= equations (like $y = x^2 - 4x + 1$) and the math solver will instantly plot the graph online with interactive visualizations and step-by-step solutions.

Can the math solver show a table of values for my graph?

Yes. The math solver generates a value table showing x and y solution coordinates so you can verify points, compare functions, and analyze changes across intervals.

How do I solve for domain and range from the graph?

After the math solver graphs your function, use the domain and range insights and the visual curve behavior to identify allowed x values and resulting y values, including restrictions for rational and square root functions.

Can the math solver show the vertex and axis of symmetry for quadratics?

Yes. For quadratic functions, the math solver can highlight the vertex and show the axis of symmetry to help you understand the parabola’s maximum or minimum solution.

Does the math solver detect asymptotes automatically?

For many rational functions, the math solver graph and key feature analysis can reveal vertical and horizontal asymptotes so you can understand where the function is undefined and how it behaves at extremes.

Can the math solver graph inequalities and shade regions?

If inequality solving is supported, you can enter inequalities like $y ≥ x^2 - 4$ and the math solver can shade the valid solution region.

Can I trace points and read exact solution coordinates?

Yes. Use trace in the math solver to move along the curve and read solution coordinates, which is helpful for checking points and understanding behavior near intercepts or turning points.

Can the math solver handle trigonometric functions in radians or degrees?

The math solver can graph and solve trig functions like sin(x), cos(x), and tan(x).