Example: Graphing the Function $f(x) = x^3$

Example: Graphing the Function $f(x) = \sqrt{x}$

Example: Graphing the Function $f(x) = |x|$

Reading the Domain of a Function from its Graph

Reading the Range of a Function from its Graph

Constant Function

Square Function

Example: Comparing the Graphs of $y = 2x - 3$ and $f(x) = 2x - 3$

Example: Reading Function Values, Intercepts, Domain, and Range from a Graph (Variant 1)

A service technician uses a function $C(h)$ to calculate the total repair cost based on the number of hours ($h$) worked. To analyze the billing data, the technician views the function's graph. Match each mathematical term with its correct description in the context of this graph.

In the graph of a mathematical function $f$, the $y$-coordinate of any point on the graph can be represented by the function notation $f(x)$.

A project manager uses a function $C(x)$ to model the total production cost of a specific part, where $x$ represents the number of units produced. When the manager looks at the graph of this function on a coordinate plane, what does the value $C(x)$ represent for any point (x, C(x)) on the graph?

Visualizing Industrial Data

A business analyst is using a mathematical function to model a company's weekly shipping costs. When this function is plotted on a coordinate system, the resulting graph serves as a visual representation of all the function's ordered ____, which can be written in the form (x, f(x)) to show the relationship between a specific week and its cost.

Interpreting Function Notation in a Revenue Dashboard

A logistics coordinator uses a cost function $C(x)$ to calculate the delivery fee based on the distance $x$ in miles. To help drivers visualize delivery rates, the coordinator needs to plot this function's graph on a coordinate system. Arrange the steps in the correct order to represent a single data point on the graph of the function, starting from identifying the input distance to plotting the final coordinate.

Example: Reading Properties from a Periodic Wavy Graph