SAT functions from a graph practice
Practice interpreting functions from graphs for the SAT, with real-world context and application.
Quiz(16 vragen)
1. Which of the following represents a function?
Termen in deze set(18)
What is a function?
A relation where each input has exactly one output. Example: .
True or false: All graphs represent functions.
False, because some graphs have vertical lines that fail the vertical line test.
Difference between linear and quadratic functions?
Linear: constant rate of change. Quadratic: variable rate, parabolic shape.
Fill in the blank: A graph that passes the vertical line test is a ___
Function.
What does the slope represent in a graph?
The rate of change of the function. It indicates how steep the line is.
Identify the y-intercept from the graph.
Where the graph intersects the y-axis. Example: (0, b) for .
True or false: The x-intercept is where y = 0.
True, because it is the point where the graph crosses the x-axis.
What is the effect of a negative slope?
The function decreases as x increases; it's a downward trend.
Example of a real-world function.
Distance = Speed x Time. Graphing distance vs. time gives a linear function.
When is a function increasing?
When the graph moves upward as you go from left to right.
What are asymptotes?
Lines that a graph approaches but never touches. Common in rational functions.
Identify the vertex of a parabola.
The highest or lowest point of the graph, depending on direction.
True or false: A graph can have multiple y-values for one x-value.
False, that would violate the definition of a function.
Effect of shifting a graph up?
Increases all y-values by the same amount, shifting the entire graph vertically.
What does the area under a curve represent?
In context, it often represents total accumulation, like distance or profit.
Difference between continuous and discrete functions?
Continuous: can take any value. Discrete: only specific values are allowed.
What is a piecewise function?
A function defined by different expressions over different intervals.
Identify a point of discontinuity.
A point where the graph jumps or breaks, indicating a gap in the function.
Vragen in deze set(16)
1. Which of the following represents a function?
2. What does a positive slope indicate?
3. Which graph represents a quadratic function?
4. True or false: A function can have two y-values for one x-value.
5. What does the y-intercept of a linear function indicate?
6. In which scenario is the function decreasing?
7. A graph with an asymptote indicates what?
8. Which of the following is a piecewise function?
9. What is the vertex of the function ?
10. Fill in the blank: The area under a velocity-time graph represents ___
11. Which graph likely represents a constant function?
12. What is the main characteristic of a linear function's graph?
13. Which of the following is NOT a characteristic of a quadratic function?
14. When is a function continuous?
15. True or false: The x-intercept is where y equals zero.
16. What happens to the graph of ?
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