STAAR Algebra 1 Practice Assessment

What is a quadratic function?

• A polynomial function of degree 1, typically in the form f(x) = ax + b.

• A polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

• A polynomial function of degree 3, typically in the form f(x) = ax^3 + bx^2 + cx + d.

• A linear function represented by a straight line on a graph.

What is a linear function?

• A function that graphs to a straight line, characterized by a constant rate of change.

• A function that graphs to a curve, with varying rates of change.

• A function that has no defined slope or intercept.

• A function that only includes positive values.

What is the rate of change in a linear function?

• The rate of change is the ratio of the change in the dependent variable to the change in the independent variable, often represented as the slope of the line.

• The rate of change is the total change in the dependent variable over the total change in the independent variable.

• The rate of change is the difference between the maximum and minimum values of the dependent variable.

• The rate of change is the average of the dependent variable values.

What is the range 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 difference between the highest and lowest values of the function.

• The average of all output values (y-values) produced by the function.

What does it mean for two graphs to be parallel?

• They have different slopes and will intersect at one point.

• They have the same slope but different y-intercepts, meaning they will never intersect.

• They have the same y-intercept and will intersect at one point.

• They have different slopes and will never intersect.

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

• y = mx + b, where m is the slope and b is the y-intercept

• y = ax^2 + bx + c, a quadratic equation

• y = mx + c, where m is the slope and c is the y-intercept

• y = b/x + m, an inverse relationship

What is the significance of the vertex in a quadratic function?

• The vertex is the point where the graph intersects the x-axis.

• The vertex is the highest or lowest point on the graph of a quadratic function, depending on the direction of the parabola.

• The vertex represents the average of the roots of the quadratic equation.

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

What does it mean for a function to be increasing?

• A function is increasing if, as the input values increase, the output values also increase.

• A function is increasing if the output values decrease as the input values increase.

• A function is increasing if it has a constant output regardless of the input values.

• A function is increasing if it oscillates between increasing and decreasing values.

What is the domain of a function?

• The set of all possible input values (x-values) for which the function is defined.

• The set of all possible output values (y-values) for which the function is defined.

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

• The rate of change of a function with respect to its input.

How do you find the zeros of a quadratic function?

• By setting the function equal to zero and solving for the variable using the quadratic formula.

• By graphing the function and identifying the x-intercepts.

• By taking the derivative of the function and finding critical points.

• By substituting random values into the function until it equals zero.