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MMA Unit 3 Vocab
Term | Definition |
---|---|
Function | A special relationship between two variables where every input (x) has only one outpoint (y) |
Input | A value that you put into a function rule |
Output | A value that you get out of a function rule after simplifying it |
Linear Function | A function in the form y=mx+b. It forms a straight line on a graph. You add or subtract a constant number to get to the next term. |
Slope/Rate of Change | Change in y/change in x |
"m" in y=mx+b | slope |
Common Difference | What you have to add each time to get to the next value in a linear equation. |
y-intercept | Where the graph hits the y-axis. Where x=0. |
"b" in y=mx+b | y-intercept |
Zero/X-intercept | Where the graph hits the x-axis. Where y=0 |
Direct Variation | A function in the form y=kx. It is a straight line through the origin. x/y is constant. |
Inverse Variation | A function in the form y=k/x. It forms two curves approaching the x and y axes. x*y is constant. |
Constant of Variation | k=y/x in Direct Variation; k=x*y in Inverse Variation. |
Exponential Function | A function in the form y=a(b)^x. It forms a curve that goes to infinity from zero or from zero to infinity on the graph. You multiply or divide by a constant number to get to the next term. |
Common Factor | The number you multiply by to get to the next term in an exponential function. |
Exponential Growth | A function in the form y=a(1+r)^x. It forms a curve that goes to infinity from zero on the graph. You multiply each term by a common number to get to the next term. |
Exponential Decay | A function in the form y=a(1-r)^x. It forms a curve that goes from infinity to zero on the graph. You divide each term by a common number to get to the next term. |
Growth/Decay Factor | Another term for Common Ratio in an exponential growth or decay function. It is the number you multiply each term by to get to the next term. |
Growth/Decay Rate | The percent as a decimal or fraction that something increases or decreases each time period. |
Quadratic Function | A function with an X^2. It forms a parabola on a graph. It has a common second difference. |
Second Difference | The differences in the first differences. It is common in a quadratic function. |
Parabola | A "u" shape formed by a quadratic function |
"c" in y=ax^2+bx+c | y-intercept of a quadratic function in standard Form |
Vertex | The maximum or minimum point or y value of a quadratic function. The point where it changes directions. |
Line of Symmetry | The x= line that runs through the middle of the vertex. The parabola is symmetric across this line. |
Symmetric (Buddy) Pairs | Points that are the same distance across the line of symmetry from each other. |
Maximum | The highest point. |
Minimum | The lowest point. |