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Functions and graphs

These tests help build a secure understanding of each topic and its solution methods. Choose a test for your school level and work at your own pace.

Tests by topic

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7 tests
Functions: domain and range
Grade 9

Functions: domain and range

This test develops understanding of function inputs, outputs, domain and range. Students also find zeros, determine intervals where a function is positive or negative and interpret information given by formulas or graphs.

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Function properties and transformations
Grade 11

Function properties and transformations

This test develops understanding of even and odd functions and common graph transformations. Students identify shifts, reflections and scaling and construct a new function formula from a given transformation.

Solve
Exponential equations and models
Grade 11

Exponential equations and models

This test covers exponential equations and their use in growth and decay models. Students rewrite expressions with a common base, solve equations and interpret percentage, compound and periodic change.

Solve
Function analysis using derivatives
Grade 12

Function analysis using derivatives

This test uses the first derivative to analyse a function. Tasks include finding critical points, intervals of increase and decrease, local extrema and absolute maximum or minimum values.

Solve
Correlation and linear model
Grade 12

Correlation and linear model

This test evaluates relationships between two variables using correlation and a linear model. Students interpret the correlation coefficient and R², calculate predictions and residuals and assess model suitability and the limits of causal conclusions.

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