Lesson 1-1 and 1-2

Front

What is the minimum value of a graph?

Back

The minimum value of a graph is the lowest point on the graph, representing the smallest output value of the function. For example, if a graph has a minimum value of -4, it means that the function does not go below -4.

Front

What is the DOMAIN of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined. For example, if the domain is (-4, 2], it includes all values greater than -4 and up to 2, including 2.

Front

What is 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. For example, if the range is [2, 5), it includes all values from 2 to just below 5, including 2.

Front

How do you express x ≥ -3 in interval notation?

Back

In interval notation, x ≥ -3 is expressed as [-3, ∞). This indicates that x can take any value from -3 to positive infinity.

Front

What does the notation (a, b) mean in interval notation?

Back

The notation (a, b) represents an open interval, meaning that the endpoints a and b are not included in the interval.

Front

What does the notation [a, b] mean in interval notation?

Back

The notation [a, b] represents a closed interval, meaning that the endpoints a and b are included in the interval.

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include their endpoints, while closed intervals do include their endpoints. For example, (1, 3) is open, and [1, 3] is closed.

Front

How do you find the minimum value of a quadratic function?

Back

To find the minimum value of a quadratic function in the form f(x) = ax^2 + bx + c (where a > 0), use the vertex formula x = -b/(2a) to find the x-coordinate of the vertex, then substitute this value back into the function to find the minimum value.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value. It can be represented as f(x), where x is the input.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards. It can be found using the vertex formula.