Function Families

Front

What is the parent function of exponential functions?

Back

Exponential function: f(x) = a^x, where a > 0.

Front

What is the parent function of quadratic functions?

Back

Quadratic function: f(x) = x^2.

Front

What is the y-intercept of f(x) = 1/x?

Back

None (the function is undefined at x=0).

Front

What is the parent function of linear functions?

Back

Linear function: f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the parent function of cubic functions?

Back

Cubic function: f(x) = x^3.

Front

What is the parent function of absolute value functions?

Back

Absolute value function: f(x) = |x|.

Front

What is the parent function of logarithmic functions?

Back

Logarithmic function: f(x) = log_a(x), where a > 0.

Front

What is the general shape of a quadratic function's graph?

Back

A parabola that opens upwards or downwards.

Front

What is the general shape of an exponential function's graph?

Back

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

Front

What is the domain of the function f(x) = 1/x?

Back

All real numbers except x = 0.