ALG I Review

What is the difference between domain and range?

• The domain is the set of all possible output values, while the range is the set of all possible input values.

• The domain of a function is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values).

• The domain refers to the maximum value of a function, while the range refers to the minimum value.

• The domain is the set of all integers, while the range is the set of all real numbers.

What are zeros of a function?

• Values of x for which the function's output is zero.

• The maximum points of the function's graph.

• The minimum points of the function's graph.

• The values of x where the function is increasing.

What is a piecewise function?

• A function that is defined by a single formula for all inputs.

• A function that is defined by multiple sub-functions, each applying to a certain interval of the domain.

• A function that has a constant value for all inputs.

• A function that can only be graphed in one continuous line.

What is a linear function?

• A function that graphs to a straight line and can be expressed in the form \( f(x) = mx + b \), where m is the slope and b is the y-intercept.

• A function that graphs to a curve and can be expressed in the form \( f(x) = ax^2 + bx + c \).

• A function that has a constant rate of change and can be represented by a quadratic equation.

• A function that does not have a defined slope and cannot be expressed in a standard form.

What does it mean for a function to be decreasing?

• A function is increasing on an interval if, as x increases, the value of f(x) increases.

• A function is constant on an interval if, as x increases, the value of f(x) remains the same.

• A function is decreasing on an interval if, as x increases, the value of f(x) decreases. This is indicated by a negative slope.

• A function is undefined on an interval if, as x increases, the value of f(x) cannot be determined.

What is a quadratic function?

• A polynomial function of degree 1

• A polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

• A linear function represented by a straight line

• A function that has no real roots

What is the slope of a line?

• The slope of a line measures its steepness and direction, calculated as the change in y over the change in x.

• The slope of a line is always a positive number regardless of the line's direction.

• 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.

How do you find the slope between two points?

• To find the slope between two points, use the formula m = (y2 - y1) / (x2 - x1).

• The slope is calculated by adding the y-coordinates of the two points and dividing by the sum of the x-coordinates.

• The slope can be found by multiplying the differences of the y-coordinates and x-coordinates.

• To find the slope, subtract the x-coordinates and divide by the difference of the y-coordinates.

How do you calculate the total cost for hourly services?

• Multiply the hourly rate by the total number of hours worked.

• Add the hourly rate to the total number of hours worked.

• Divide the total number of hours worked by the hourly rate.

• Multiply the total number of hours worked by the hourly rate and add a flat fee.

What is the axis of symmetry in a quadratic function?

• A vertical line that divides the graph into two mirror-image halves.

• A horizontal line that divides the graph into two equal parts.

• The point where the graph intersects the y-axis.

• The maximum point of the quadratic function.