College Algebra Diagnostic

Front

What is the parent function of absolute value?

Back

f(x) = |x|

Front

How do you find the inverse of a function?

Back

To find the inverse of f(x), swap x and y, then solve for y.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you solve logarithmic equations?

Back

Set the arguments equal to each other if the bases are the same.

Front

What is the standard equation of a circle?

Back

The standard equation is (x-h)² + (y-k)² = r², where (h,k) is the center and r is the radius.

Front

What is the definition of a function?

Back

A relation where each input has exactly one output.

Front

What is the quadratic formula?

Back

x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} for ax² + bx + c = 0.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has one output.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements.

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for the function.