Find the domain of the rational function. Then, write it in lowest terms.
Table of contents
- 0. Functions4h 53m
- 1. Limits and Continuity2h 2m
- 2. Intro to Derivatives1h 33m
- 3. Techniques of Differentiation2h 18m
- 4. Derivatives of Exponential & Logarithmic Functions1h 16m
- 5. Applications of Derivatives2h 19m
- 6. Graphical Applications of Derivatives6h 0m
- 7. Antiderivatives & Indefinite Integrals48m
- 8. Definite Integrals4h 36m
- 9. Graphical Applications of Integrals1h 43m
- 10. Integrals of Inverse, Exponential, & Logarithmic Functions21m
- 11. Techniques of Integration2h 7m
- 12. Trigonometric Functions6h 54m
- Angles29m
- Trigonometric Functions on Right Triangles1h 8m
- Solving Right Triangles23m
- Trigonometric Functions on the Unit Circle1h 19m
- Graphs of Sine & Cosine46m
- Graphs of Other Trigonometric Functions32m
- Trigonometric Identities52m
- Derivatives of Trig Functions42m
- Integrals of Basic Trig Functions28m
- Integrals of Other Trig Functions10m
- 13: Intro to Differential Equations2h 23m
- 14. Sequences & Series2h 8m
- 15. Power Series2h 19m
- 16. Probability & Calculus45m
0. Functions
Common Functions
Multiple Choice
In the graph shown, identify the y–intercept & slope. Write the equation of this line in Slope-Intercept form.

A
y=32x+1
B
y=−32x+1
C
y=−2x+1
D
y=x+2
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Verified step by step guidance1
Step 1: Observe the graph and identify the y-intercept. The y-intercept is the point where the line crosses the y-axis. In this graph, the line crosses the y-axis at y = 1.
Step 2: Determine the slope of the line. The slope is calculated as the change in y divided by the change in x (rise over run). From the graph, pick two points on the line, such as (0, 1) and (3, -1). Calculate the slope using the formula: slope = (change in y) / (change in x).
Step 3: Substitute the y-intercept and slope into the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
Step 4: Verify the equation by checking if the line passes through other points on the graph. For example, substitute x = 3 into the equation and confirm that y = -1 matches the graph.
Step 5: Compare the derived equation with the given options to identify the correct answer. Ensure the slope and y-intercept match the graph.
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