Math 3 Midterm Review Unit 3

Front

What is a piecewise function?

Back

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

Front

How do you determine the charge for using a piecewise function?

Back

To determine the charge, evaluate the function based on the number of terms used and apply the appropriate formula for that interval.

Front

What does the notation f(x) represent?

Back

f(x) represents the value of the function f at the input x.

Front

What is the significance of continuity in piecewise functions?

Back

A piecewise function is continuous if there are no breaks, jumps, or holes in its graph at the points where the pieces meet.

Front

How do you find the inverse of a function?

Back

To find the inverse of a function, swap the x and y variables and solve for y.

Front

What is the formula for the inverse of the function f(x) = -2√x + 2?

Back

Front

What does it mean for a function to be continuous at a point?

Back

A function is continuous at a point if the limit of the function as it approaches that point equals the function's value at that point.

Front

How do you evaluate f(1) for a given function?

Back

To evaluate f(1), substitute 1 into the function's formula and simplify.

Front

What is the value of f(6) if f(x) = 3?

Back

The value of f(6) is 3.

Front

What is the difference between a function and its inverse?

Back

A function maps inputs to outputs, while its inverse maps outputs back to the original inputs.