True/False Quiz for Chapter 1

Functions and Graphs

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1. The graph of any equation in two variables is a straight line. True False

2. The graph of any linear equation in two variables is a straight line. True False

3. Every line has a slope. True False

4. Every non vertical line has a slope. True False

5. Every line is the graph of a linear equation in two unknowns. True False

6. To find the equation of a line, all you need is a point and the slope. True False

7. You need to know the y-intercept to write the equation of a line. True False

8. The graph of a quadratic function f(x) = ax2+bx+c (a 0) is always a parabola. True False

9. The vertex is the lowest point on a parabola. True False

10. Every parabola crosses both axes. True False

11. In a linear cost equation, the slope gives the cost of the first item. True False

12. If displacement is a linear function of time, then the slope of the graph represents the velocity. True False

13. If the weekly sales q of an item priced at $p are given by q = 3p + 40, then the weekly sales decrease by 3 items for every $1 increase in price. True False

14. If the total weekly revenue for items priced at $p is given by the function R(p) = p2 + 100p, then the total weekly revenue will be $100 if we give the items away. True False

15. A real-valued function of a real variable is a rule that assigns exactly one number to each specified input number in a specified domain. True False

16. Some functions assign two or more numbers to each specified input number. True False

17. If f(x) = x3 + 3x, then f(x+h) = x3 + 3x + h. True False

18. If f(x) = 1 / (2x), then f(x+h) = 1 / (2x) + h. True False

19. If f(x) = x / (x 1), then the largest possible domain of f consists of all real numbers except 0. True False

20. Every equation in x has at least one solution that can be found with a graphing calculator. True False

Last Updated: July, 1996
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