Linear Functions Review

How do you determine if a relation is a function?

• A relation is a function if every input (x-value) has exactly one output (y-value).

• A relation is a function if it has at least one output for every input.

• A relation is a function if it contains no repeated x-values.

• A relation is a function if it is represented by a straight line.

Tags

CCSS.8.F.A.1

What is the y-intercept of a linear function?

• The point where the line crosses the x-axis, represented as (a, 0) in the equation y = mx + b.

• The point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

• The slope of the line in the equation y = mx + b.

• The value of y when x is equal to 1 in the equation y = mx + b.

What is the significance of the slope in a linear function?

• The slope indicates the direction and steepness of the line.

• The slope determines the y-intercept of the line.

• The slope represents the area under the curve.

• The slope indicates the maximum value of the function.

Tags

CCSS.8.EE.B.5

What is the slope of a line?

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

• The slope of a line is the distance between two points on the line.

• The slope of a line is the angle it makes with the x-axis in degrees.

• The slope of a line is the total length of the line segment.

Tags

CCSS.8.EE.B.5

What is the vertical line test?

• A method to determine if a graph represents a function.

• A test to measure the height of a graph.

• A technique to find the area under a curve.

• A way to check if a graph is symmetrical.

What is the domain of a function?

• The set of all possible input values (x-values) that the function can accept.

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

• The graphical representation of a function on a coordinate plane.

• The rate at which a function changes with respect to its input.

What does it mean for a function to be decreasing?

• A function is decreasing if, as the x-values increase, the y-values decrease.

• A function is decreasing if, as the x-values increase, the y-values increase.

• A function is decreasing if it has a positive slope.

• A function is decreasing if it is always below the x-axis.

What does it mean for a function to be increasing?

• A function is increasing if, as the x-values increase, the y-values also increase.

• A function is increasing if the y-values decrease as the x-values increase.

• A function is increasing if it has a maximum value at some point.

• A function is increasing if it oscillates between values as the x-values increase.

What is a linear function?

• A function that graphs to a straight line, represented by the equation y = mx + b.

• A function that graphs to a curve, represented by the equation y = ax^2 + bx + c.

• A function that has a constant rate of change, represented by the equation y = kx.

• A function that does not have a defined slope, represented by the equation y = c.

Tags

CCSS.8.F.A.3

What does the equation y = mx + b represent?

• This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

• This is the quadratic formula used to find the roots of a polynomial.

• This represents the equation of a circle in standard form.

• This is the formula for calculating the area of a triangle.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6