DC Semester exam S1 24-25

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.

Front

What does it mean for a function to be 'even'?

Back

A function is even if f(-x) = f(x) for all x in the domain, meaning its graph is symmetric about the y-axis.

Front

What does it mean for a function to be 'odd'?

Back

A function is odd if f(-x) = -f(x) for all x in the domain, meaning its graph is symmetric about the origin.

Front

How do you calculate the average rate of change of a function between two points?

Back

The average rate of change from x = a to x = b is given by (f(b) - f(a)) / (b - a).

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers, represented as (-∞, ∞).

Front

What is the difference between a closed interval and an open interval?

Back

A closed interval includes its endpoints, while an open interval does not include its endpoints.

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.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if any vertical line intersects the curve more than once, it is not a function.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, defined by the equation y = mx + b.

Front

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

Back

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