Algebra 2 Function Families

Front

What is a function family?

Back

A group of functions that share common characteristics and can be represented by similar equations.

Front

What is a linear function?

Back

A function that can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is an exponential function?

Back

A function of the form f(x) = a * b^x, where a is a constant, b is the base, and x is the exponent.

Front

What is a quadratic function?

Back

A function that can be expressed in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is an absolute value function?

Back

A function that describes the distance of a number from zero on the number line, expressed as f(x) = |x|.

Front

What is the graph of a linear function?

Back

A straight line that can slope upwards, downwards, or be horizontal.

Front

What is the graph of an exponential function?

Back

A curve that increases rapidly for positive x values and approaches zero for negative x values.

Front

What is the graph of a quadratic function?

Back

A parabola that opens upwards or downwards depending on the sign of the leading coefficient.

Front

What is the graph of an absolute value function?

Back

A V-shaped graph that opens upwards, with the vertex at the origin (0,0) if no transformations are applied.

Front

How do you identify a linear function from a table of values?

Back

If the differences between consecutive y-values are constant, the function is linear.