18 Questions
What is the rate of change of a linear function?
The slope
In linear equations, what does 'y = mx + b' represent?
The y-intercept
What key feature does the x-intercept represent in linear functions?
The point where the graph crosses the x-axis
If a linear function is represented by Ax + By = C, what does 'A' represent?
A constant term
What transformation occurs when f(x) is replaced by af(x) in linear functions?
Vertical stretch or compression
How can you estimate graphically the solutions to a system of two linear equations?
By determining points of intersection on the graph
Which method can be used to write the equation of a quadratic function when given the vertex and another point on the graph?
Writing it in vertex form
What does the domain of a quadratic function represent?
Set of x-values
Which method is NOT typically used to solve quadratic equations with real solutions?
Graphing
If a linear function has a slope of 3, what does this indicate about the line?
The line is increasing
What key attribute can be identified from the graph of a quadratic function?
Minimum value
When writing linear equations in two variables given a table of values, what does each row in the table represent?
A pair of input-output values
How can a student identify key attributes of a quadratic function graph?
By determining the x-intercept and zeros
What is the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions?
The zeros are the solutions of the linear factors
What effect does replacing ƒ(x) with af(x) have on the graph of the parent function f(x) = x²?
Vertical stretch or compression
How can quadratic equations with real solutions be solved?
By completing the square
What does writing quadratic functions using technology enable students to do?
Estimate solutions to real-world problems
In what way can real-world data be used to evaluate statistical relationships?
By formulating and evaluating statistical relationships based on data
This quiz covers communicating mathematical ideas, writing linear equations in two variables, determining the domain and range of quadratic functions, and writing equations of quadratic functions in vertex form. Test your skills in mathematical communication and understanding quadratic functions.
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