Friday Flashcard 12, Champion Level

Front

What happens to the graph of a function when it is reflected across the x-axis?

Back

The y-coordinates of all points on the graph are multiplied by -1, resulting in a graph that is a mirror image of the original across the x-axis.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

How do you find the intersection point of two lines?

Back

To find the intersection point, solve the equations of the two lines simultaneously to find the values of x and y that satisfy both equations.

Front

What does it mean for two graphs to have the same domain?

Back

Two graphs have the same domain if they are defined for the same set of x-values.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is a linear function?

Back

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Front

What is a vertical line?

Back

Front

What is a horizontal line?

Back

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.