Introduction to Curve Sketching
Explore the basics of curve sketching for grade 9 students, including identifying intercepts, symmetry, and basic shapes of functions.
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Introduction to Curve Sketching
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Read each question carefully and provide your best answer. For sketching questions, use the provided graph paper or draw clearly in the space provided.
1. For the function f(x) = 2x - 4:
a) Find the x-intercept(s).
b) Find the y-intercept(s).
2. For the function g(x) = x² - 9:
a) Find the x-intercept(s).
b) Find the y-intercept(s).
3. Which type of symmetry does the function f(x) = x³ exhibit?
Symmetry about the y-axis
Symmetry about the x-axis
Symmetry about the origin
No symmetry
4. A linear function always produces a when graphed.
5. A quadratic function typically forms a U-shaped curve called a .
6. Sketch the graph of the function f(x) = x + 2 on the coordinate plane below. Label the x and y intercepts.
7. The graph of an even function is symmetric with respect to the y-axis.
True
False