Let A = {-6, -12⁄4, -5⁄8, -√3, 0, ¼, 1, 2π, 3, √12}. List all the elements of A that belong to each set. Irrational numbers
Table of contents
- 0. Review of College Algebra4h 45m
- 1. Measuring Angles40m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
0. Review of College Algebra
Functions
Multiple Choice
Is the equation y=−2x+10 a function? If so, rewrite it in function notation and evaluate at f(3).
A
f(3)=4 , Is A Function
B
f(3)=3, Is A Function
C
f(3)=1, Is A Function
D
Is NOT A Function
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Verified step by step guidance1
Step 1: Determine if the equation y = -2x + 10 is a function. A function is a relation where each input (x-value) has exactly one output (y-value). Since this equation is in the form of y = mx + b, which is a linear equation, it is a function.
Step 2: Rewrite the equation in function notation. The equation y = -2x + 10 can be rewritten as f(x) = -2x + 10, where f(x) represents the function value at x.
Step 3: Evaluate the function at x = 3. Substitute x = 3 into the function notation: f(3) = -2(3) + 10.
Step 4: Simplify the expression from Step 3. Calculate -2 times 3, then add 10 to the result.
Step 5: Conclude that the equation is a function and provide the evaluated result of f(3) based on the simplification from Step 4.
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