Algebra 1 Unit 4 End Review

Front

What is the inverse of the coordinates (1, 2) (3, 8) (-3, 6)?

Back

(2, 1) (8, 3) (6, -3)

Front

What transformation is described as moving right 3 and up 2?

Back

The transformation is right 3, up 2.

Front

What is the range of charges for a dog groomer based on weight: $35 for under 15 lbs, $45 for 15-40 lbs, and $60 for over 40 lbs?

Back

The range is $35, $45, $60.

Front

If the function f(x) passes through (1, 4) and (4, 6), what points does the inverse pass through?

Back

The inverse passes through (4, 1) and (6, 4).

Front

What is a reasonable range for a situation where values are between 0 and 25?

Back

All real numbers greater than or equal to 0 and less than or equal to 25.

Front

Define the term 'inverse function'.

Back

An inverse function reverses the operation of the original function, swapping the input and output.

Front

What is the definition of a transformation in algebra?

Back

A transformation is an operation that moves or changes a shape in some way.

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

How do you find the inverse of a function algebraically?

Back

To find the inverse, swap x and y in the equation and solve for y.

Front

What is the significance of the range in a function?

Back

The range is the set of all possible output values of a function.