Writing Linear, Quadratic, and Exponential Functions S1 Review

Flashcard
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Mathematics
•
9th Grade
•
Hard
+4
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
FLASHCARD QUESTION
Front
What does the slope of a linear function represent?
Back
The slope represents the rate of change of the function; it indicates how much y changes for a unit change in x.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear function?
Back
The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.
4.
FLASHCARD QUESTION
Front
How do you write the equation of a linear function given two points?
Back
Use the formula for slope (m = (y2 - y1) / (x2 - x1)) to find the slope, then use the point-slope form (y - y1 = m(x - x1)) to write the equation.
5.
FLASHCARD QUESTION
Front
What is a quadratic function?
Back
A quadratic function is a polynomial function of degree 2, typically written in the form y = ax^2 + bx + c, where a, b, and c are constants.
6.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function?
Back
The vertex is the highest or lowest point of the parabola represented by the quadratic function, depending on the direction it opens.
7.
FLASHCARD QUESTION
Front
How can you determine if a quadratic function opens upwards or downwards?
Back
If the coefficient 'a' in the quadratic function y = ax^2 + bx + c is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.
Tags
CCSS.HSF-IF.C.7A
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