Graphing Functions

Front

What is the y-intercept of the equation y=3x-5?

Back

The y-intercept is -5.

Front

Describe the transformation from the Absolute Value Parent Function: y = |x| to y = |x| + 4.

Back

The transformation is a shift up 4 units.

Front

Find the missing OUTPUT values for the function f(x) = 2x: If x = 2 and x = 6, what are the outputs?

Back

The missing OUTPUT values are 4 and 12.

Front

What is the Domain of the set of coordinates (-2, 4), (-3, 5), (-4, 6)?

Back

The Domain is {-2, -3, -4}.

Front

Which graph does NOT pass the vertical line test?

Back

Graph 1 does NOT pass the vertical line test.

Front

What is the definition of a function?

Back

A function is a relation where each input has exactly one output.

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the effect of a negative sign in front of a function, such as y = -f(x)?

Back

It reflects the graph of the function across the x-axis.