M3 Sem1 Review Topic 1

Front

What is the definition of a function?

Back

A function is a relation between a set of inputs and a set of permissible outputs, where each input is related to exactly one output.

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 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

How do you determine if a function is increasing?

Back

A function is increasing on an interval if, for any two points in that interval, the function's value at the second point is greater than at the first point.

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions or formulas over different parts of its domain.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a graph of a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the significance of the y-intercept?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, indicating the output value when the input is zero.

Front

What is the significance of the x-intercept?

Back

The x-intercept is the point where the graph of a function crosses the x-axis, indicating the input value(s) for which the output is zero.

Front

How do you find the x-intercepts of a function?

Back

To find the x-intercepts, set the function equal to zero and solve for x.