Identifying Linear Functions Quiz

What is the primary characteristic of a linear function's graph?

• It is a straight line.

• It is a parabola.

• It consists of disconnected points.

• It is a curve.

How do we use the vertical line test to determine if a graph represents a function?

• By checking if the graph touches the vertical line more than once.

• By drawing a horizontal line across the graph.

• By drawing a vertical line and ensuring it only intersects the graph at one point.

• By ensuring the graph does not touch the vertical line.

What is the result of applying the vertical line test to a curve?

• It indicates the curve could be a linear function if it straightens out.

• It shows the curve is not a function.

• It has no significance on the curve's classification.

• It confirms the curve is a linear function.

How does the vertical line test determine if something is a function?

• By intersecting the graph at two points.

• By not intersecting the graph at all.

• By intersecting the graph at multiple points.

• By intersecting the graph at exactly one point.

What indicates a constant change in a table when identifying a linear function?

• The x-values increase by different amounts.

• The x-values are squared.

• The y-values decrease by the same amount.

• The difference between consecutive y-values remains the same.

In a table, if the x-values increase by 1 and the y-values decrease by 3, what can be inferred?

• The relationship is quadratic.

• The relationship is not a function.

• The relationship represents a linear function.

• The relationship is exponential.

Which of the following equations represents a linear function?

• y = x² + 3

• y = 2x + 5

• y = x/x + 1

Why is the equation y = 2^x not considered a linear function?

• Because it includes a fraction.

• Because x and y are multiplied together.

• Because it includes a square root.

• Because the exponent on x is not one.

What disqualifies an equation from being a linear function?

• The equation is y = 3x + 7.

• The equation includes a term with x².

• The equation is y = 12.

• The equation is y = x + 1.

What is a necessary condition for an equation to be considered a linear function?

• The equation must have variables only in the numerator.

• The equation must include a square root.

• The equation must have x and y multiplied together.

• The exponents on the variables must be one.