Use the vertical line test to identify graphs in which y is a function of x.
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- 0. Review of Algebra4h 18m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations1h 43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 5m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 22m
- 10. Combinatorics & Probability1h 45m
2. Graphs of Equations
Graphs and Coordinates
Problem 78
Textbook Question
Use the graph to determine a.the x-intercepts, if any; b. the y-intercept, if any; and e. the missing function values, indicated by question marks, below each graph.

Verified step by step guidance1
Identify the x-intercepts by finding the points where the graph crosses the x-axis. These are points where the y-value is zero. From the graph, note the x-values at these points.
Identify the y-intercept by finding the point where the graph crosses the y-axis. This is the point where the x-value is zero. From the graph, note the y-value at this point.
To find the missing function values indicated by question marks, locate the corresponding x-values on the graph and determine the y-values by reading the height of the graph at those points.
Write down the coordinates of the x-intercepts and y-intercept clearly in the form \((x, 0)\) for x-intercepts and \((0, y)\) for the y-intercept.
Use the identified points to understand the behavior of the function and verify the missing values by checking if they align with the shape and trend of the graph.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
X-Intercepts
X-intercepts are points where the graph crosses the x-axis, meaning the y-value is zero at these points. Identifying x-intercepts involves finding the values of x for which the function equals zero. In the graph, these are marked as (0,0) and (5,0).
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Y-Intercept
The y-intercept is the point where the graph crosses the y-axis, which occurs when x equals zero. This point shows the initial value of the function. In the graph, the y-intercept is at (0,7), indicating the function's value when x is zero.
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Reading Function Values from a Graph
To determine missing function values, analyze the graph's points and their coordinates. Each point on the curve corresponds to an (x, y) pair, where y is the function value at x. Using the graph, you can estimate or identify exact values to fill in missing data.
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