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The graph of any equation in two variables is a straight line. |
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The graph of any linear equation in two variables is a straight line. |
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In a linear model of y as a function of x, the slope is measured in units of x per unit of y. |
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In a linear model of y as a function of x, y changes by the same amount for every unit of change in x. |
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To find the equation of a line, all you need is a point and the slope. |
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The graph of a quadratic function f(x) = ax2+bx+c (a 0) is never a straight line. |
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A polynomial function is not a rational function. |
8. |
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f(x) = 3x2-2x is not a quadratic function, since it lacks the constant term. |
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If displacement is a linear function of time, then the slope of the graph represents the velocity. |
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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. |
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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. |
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Some functions assign two or more numbers to each specified input number. |
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If f(x) = x3, then f(x+h) = x3 + h. |
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If f(x) = | 1
2x | , then f(x+h) | = | 1
2x | + h. |
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15. |
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If f(x) = | x
x - 1 | , then the largest possible domain of f consists of all real numbers except 0. |
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The regression line associated with two data points (with different x-coordinates) always passes through both points. |
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The regression line associated with three data points (with different x-coordinates) always passes through at least two of those points. |
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The regression line associated with a collection of more than two data points may pass through none of those points. |
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The number 0.00346 is specified to 5 significant digits. |
20. |
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When multiplying two numbers whose values are not known precisely, one should always round the answer to more significant digits than appear in the original factors. |