Hon IM1 - Semester 1 Final Review

Front

What is an Absolute Value Function?

Back

An Absolute Value Function is a function that outputs the distance of a number from zero on the number line, regardless of direction. Its general form is f(x) = |x|.

Front

What is the general form of a Linear Function?

Back

The general form of a Linear Function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line that passes through the points (1, 4) and (2, 1)?

Back

The equation is y = -3x + 7.

Front

What is the definition of the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you determine the x-intercept of a function?

Back

The x-intercept is found by setting the output (y) to zero and solving for x.

Front

What is a Quadratic Function?

Back

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

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

What is the standard form of a quadratic equation?

Back

The standard form is f(x) = ax^2 + bx + c.

Front

What does it mean for a function to be increasing?

Back

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