10 1 Graphs Of Functions – Class 9TH Math

Students' Learning Outcomes

At the end of the unit, the students will be able to:

Recall sketch graphs of linear functions (e.g. $y = ax + b$ )
Plot and interpret the graphs of quadratic, cubic, reciprocal and exponential functions.
- Graph $y = ax^n$ where $n$ is $+ve$ integer, $-ve$ integer, rational number for $x > 0$ and $a$ is any real number.
- Graph $y = ka^x$ , where $x$ is real $a > 1$ .
Discover exponential growth/decay of a practical phenomenon through its graph.
Determine the gradients of curves by drawing tangents.
Apply concepts of sketching and interpreting graphs to real-life problems (such as in tax payment, income and salary problems and cost and profit analysis)