Function rule

What does the 'b' represent in the equation y = mx + b?

• The slope of the line

• The y-intercept, which is the point where the line crosses the y-axis.

• The x-intercept, which is the point where the line crosses the x-axis.

• The constant term in the equation.

What is a function rule?

• A mathematical expression that describes the relationship between input (x) and output (y) values in a function.

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

• A set of instructions for solving equations.

• A method for calculating the area under a curve.

How do you determine the missing x-value in a function?

• You can rearrange the function rule to solve for x using the known output value.

• You can substitute the known output value directly into the function.

• You can graph the function and find the intersection point.

• You can ignore the output value and use the function's domain.

What is the output of the function y = 2x + 1 when x = -1?

• y = 0

• y = 1

• y = -1

• y = 2

What is the function rule for a line that passes through the points (1, 4) and (2, 6)?

• y = 2x + 2

• y = 3x + 1

• y = x + 5

• y = 4x - 2

If Molly's age is represented by 'm', how do you express Myles' age if he is 3 years older than Molly?

• m + 3

• m - 3

• 3m

• m + 1

What does it mean if a function is linear?

• A linear function is one that graphs as a straight line, meaning it has a constant rate of change.

• A linear function is one that can be represented by a quadratic equation.

• A linear function is one that has varying rates of change depending on the input.

• A linear function is one that only includes positive integers.

How do you find the output of a function when given an input?

• Evaluate the function at the input value and return the result.

• Substitute the input value into the function rule and simplify to find the output.

• Graph the function and locate the input on the x-axis.

• Differentiate the function with respect to the input value.

What is the slope in the function rule y = mx + b?

• The slope (m) indicates how steep the line is and the direction it goes.

• The slope (m) is always a positive number.

• The slope (m) represents the y-intercept of the line.

• The slope (m) is the point where the line crosses the x-axis.

What is the output (y) when x = 0 in the function y = 3x + 1?

• 0

• 1

• 3

• 2