DQ #7 T2

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, |-26| = 26.

Front

How do you solve the equation x + 7 = 12?

Back

To solve for x, subtract 7 from both sides: x = 12 - 7, so x = 5.

Front

What does g(7) represent in a function?

Back

g(7) represents the output of the function g when the input is 7. For example, if g(7) = 17, then 17 is the output.

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions for different intervals of the input variable.

Front

How do you find f(2) in a function?

Back

To find f(2), substitute 2 into the function's equation and solve for the output.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).