Function Grapher
Math · Graphing Functions · Middle School and High School
About this simulation
A function is a rule, and its graph is the picture of that rule: every point on the curve is one input paired with the output the rule gives it. Typing the algebra and seeing the shape appear links the two directly, and changing one number at a time shows which part of the shape that number controls. Students can change x² coefficient and x coefficient and compare what happens. Use it for math inquiry with Middle School and High School on a projector or student device.
Standards: Common Core CCSS.MATH.CONTENT.8.F.A.3, CCSS.MATH.CONTENT.HSF.IF.C.7
What students can explore
- Type x^2 and then x^2 - 3, and see that subtracting three slides the whole curve down
- Plot two functions at once and find where they meet
- Type 1/x and look at what happens as x approaches zero from each side
- Use the trace point to read a value off the curve, then check it by hand
- Find the x-values where a curve crosses zero, and connect them to solving the equation
Learning objectives
- 1Predict how changing x² coefficient will affect the value at the trace point, then test the prediction.
- 2Use evidence from the live calculation and visual to explain the result.
Questions teachers ask
Is the Function Grapher simulation free?
Yes. Open the Function Grapher simulation in a modern browser with no download or sign-up required.
Is it suitable for Middle School and High School?
The simulation includes learning-level presets spanning Middle School and High School. Choose the level that matches your class, then use it on a projector or student devices.
Embed this simulation
Drop it into your LMS, blog, or class site — free.
<iframe src="https://kiwibee.io/en/simulations/function-grapher-simulation/embed" title="Function Grapher | KiwiBee" loading="lazy" allowfullscreen style="width:100%;height:min(70vh,620px);min-height:420px;border:0;border-radius:16px"></iframe>Continue exploring
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From model to evidence
Pair this simulation with a printable
Use a worksheet to capture predictions, observations, and explanations after students explore.
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