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| Question | Answer |
| What is a relation? | A relation is a set of ordered pairs. |
| What is a domain? | The domain is the set of all the first numbers (x-values) of the ordered pairs. |
| What is a range? | The range is the set of the second numbers (y-values) in each pair. |
| What is a function? | A function is a relation where each x-value is related to a unique y-value. |
| What is a relation? | A function that passes the vertical line test. |
| How to test if a function has an inverse function? | Use the horizontal line test. |
| Explain the transformation -f(x). | -f(x) reflects f(x) in the x-axis. |
| Explain the transformation f(-x). | f(-x) reflects f(x) in the y-axis. |
| Explain the transformation f(qx). | f(qx) stretches f(x) horizontally with scale factor 1/q. |
| Explain the transformation pf(x). | pf(x) stretches f(x) vertically with scale factor p. |
| For quadratic functions in standard form y=ax^2 + bx + c = 0, the graph will cross the y-axis at... | (0,c) |
| What is the equation of the axis of symmetry? | x= -b/2a |
| When the basic quadratic function y=x^2 undergoes transformations, the resulting functions can be written as... | y=a(x-h)^2+k |
| For quadratic functions in the form y=a(x-h)^2 + k, the graph will have its vertex at... | (h,k) |
| The n root of (a)^m is the same as... | a^(m/n) |
| The n root of a is the same as... | a to the power of m/n |
| If b=a^x then what is the log form? | loga (b) = x |
| What is the reciprocal of a number? | The reciprocal of a number is 1 divided by that number. |
| A number multiplied by its reciprocal equals...? | 1 |
| What is the graph of a reciprocal function called? | a hyperbola |
| The vertical asymptote can be found how? | Find the x-value that makes the denominator zero. |
| The horizontal asymptote can be found how? | using, y=a/c |
| To convert radians to degrees you must... | multiply by 180/pi |
| If b^2 -4ac > 0, the quadratic equation will... | ... have two different real roots (Two solutions) |
| If b^2 -4ac = 0, the quadratic equation will... | ... have two equal roots. (One solution) |
| If b^2 -4ac < 0, the quadratic equation will... | ... have no real roots (no solutions) |
| What is the equation of the axis of symmetry? | x= -b/2a |
| What is the equation for the axis of symmetry when the form: y = a(x-h)^2 + k, is used? | x = p+q/2 |
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