2024 College Algebra Final

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, the graph does not represent a function.

Front

How do you evaluate a function at a specific point?

Back

Front

What are intervals of increase and decrease in a function?

Back

Intervals of increase are ranges where the function's output values rise as the input values increase. Intervals of decrease are ranges where the function's output values fall as the input values increase.

Front

What is the general form of a quadratic function?

Back

Front

How do you find the height of a projectile at a given time?

Back

Front

What does it mean for a function to have an inverse?

Back

A function has an inverse if each output value corresponds to exactly one input value. The inverse function essentially 'reverses' the effect of the original function.

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. It represents the maximum or minimum value of the function.

Front

How do you determine the maximum height of a projectile?

Back

Front

What is the formula for the inverse of a function?

Back

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 a set of ordered pairs, a graph, or an equation.