FAQs on Functions & Graphs

Question 1

1. What are the key features of functions and graphs?

Accepted Answer

Ans. Key features of functions and graphs include domain, range, intercepts, symmetry, asymptotes, and transformations.

Question 2

2. How do you determine the domain and range of a function from its graph?

Accepted Answer

Ans. To determine the domain of a function from its graph, look at the x-values that the function covers. The range can be found by examining the y-values that the function takes on.

Question 3

3. How can you identify the intercepts of a function from its graph?

Accepted Answer

Ans. The x-intercepts of a function can be identified by finding where the graph crosses the x-axis, while the y-intercepts are determined by where the graph crosses the y-axis.

Question 4

4. What is symmetry in functions and graphs, and how can it be identified?

Accepted Answer

Ans. Symmetry in functions and graphs refers to specific patterns that are repeated across the graph. Symmetry can be identified by checking if the function is unchanged when reflected across a line or point.

Question 5

5. How do transformations affect the graph of a function?

Accepted Answer

Ans. Transformations such as translations, reflections, stretches, and compressions can change the position, size, and orientation of the graph of a function.

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