EOC Algebra Review

What is a linear function?

• A function that graphs to a straight line and can be expressed in the form y = 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 y = 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 is the quadratic formula used for?

• To find the roots of a quadratic equation.

• To calculate the area of a triangle.

• To determine the slope of a line.

• To solve linear equations.

How do you determine the function for exponential growth?

• n = a(b)^h, where 'a' is the initial amount, 'b' is the growth factor, and 'h' is the time.

• n = a + b*h, where 'a' is the initial amount, 'b' is the rate of change, and 'h' is the time.

• n = a - b(h), where 'a' is the initial amount, 'b' is the decay factor, and 'h' is the time.

• n = a * e^(bt), where 'a' is the initial amount, 'b' is the growth rate, and 't' is the time.

How do you identify the slope of a line from its equation?

• In the slope-intercept form y = mx + b, 'm' represents the slope of the line.

• The slope is always equal to the y-intercept of the line.

• The slope can be found by taking the derivative of the equation.

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

What is an asymptote in graphing?

• A line that a graph approaches but never touches.

• A point where the graph intersects the x-axis.

• A curve that represents the maximum value of a function.

• A type of graph that shows exponential growth.

How do you find the nth term of an arithmetic sequence?

• The nth term can be calculated using the formula a_n = a_1 + (n-1)d.

• The nth term is simply the first term multiplied by n.

• The nth term is the sum of the first n terms of the sequence.

• The nth term can be found by subtracting the common difference from the first term.

What is the difference between a maximum and minimum in a parabola?

• A maximum is the highest point of a parabola that opens downwards, while a minimum is the lowest point of a parabola that opens upwards.

• A maximum is the lowest point of a parabola that opens downwards, while a minimum is the highest point of a parabola that opens upwards.

• A maximum and minimum are the same point in a parabola regardless of its direction.

• A maximum is the point where the parabola intersects the x-axis, while a minimum is the point where it 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 difference between discrete and continuous functions?

• Discrete functions can take any value within a given range, while continuous functions have distinct, separate values.

• Discrete functions have distinct, separate values, while continuous functions can take any value within a given range.

• Discrete functions are always linear, while continuous functions are always non-linear.

• Discrete functions are defined only at specific points, while continuous functions are defined at all points in an interval.

What is the formula for the area of a triangle?

• A = base * height

• A = 1/2 * base * height

• A = base + height

• A = base - height