Precalculus Chapter 1 Review

Front

What is a relative maximum in a function?

Back

A relative maximum is a point on the graph of a function where the function value is higher than the values of the function at nearby points.

Front

What is a relative minimum in a function?

Back

A relative minimum is a point on the graph of a function where the function value is lower than the values of the function at nearby points.

Front

How do you find the sum of two functions f(x) and g(x)?

Back

To find the sum of two functions, you add their outputs: (f + g)(x) = f(x) + g(x).

Front

What are parametric equations?

Back

Parametric equations express the coordinates of points on a curve as functions of a variable, often denoted as 't'.

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 finding the sum of two linear functions?

Back

If f(x) = mx + b and g(x) = nx + c, then (f + g)(x) = (m + n)x + (b + c).

Front

What is the difference between relative and absolute extrema?

Back

Relative extrema are the highest or lowest points in a specific interval, while absolute extrema are the highest or lowest points over the entire domain of the function.

Front

What does it mean for a function to be increasing?

Back

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

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, for any two points in that interval, the function value at the second point is less than the function value at the first point.

Front

How do you determine if a function has a maximum or minimum?

Back

You can determine if a function has a maximum or minimum by finding the critical points where the derivative is zero or undefined and using the second derivative test.