Math 3 Unit One - Better Homework Flashcard

Front

Describe the transformation to f(x) that results in g(x) = f(x-3).

Back

f(x) has been translated to the right 3.

Front

Solve for x: |2x−1| + 4 = 8.

Back

x = 2.5 and x = -1.5

Front

What is the domain of the graph?

Back

1 ≤ x ≤ 4

Front

Which graph matches the piecewise function: -x + 4 if x < 2, 2x - 6 if x ≥ 2?

Back

Graph C

Front

Solve the absolute value inequality and graph: |x - 3| < 2.

Back

x > 1 and x < 5 (Graph A)

Front

What does it mean for a function to be translated to the right?

Back

The graph of the function shifts horizontally to the right by a specified number of units.

Front

What is the definition of absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction.

Front

How do you solve an absolute value equation?

Back

Set up two separate equations: one for the positive case and one for the negative case.

Front

What is a piecewise function?

Back

A function that is defined by different expressions based on the input value.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) of a function.