Block 2 Warm-Up --- Monday, 12/2

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches positive or negative infinity.

Front

What is the horizontal asymptote of the function f(x) = (2x)/(x+1)?

Back

y = 2

Front

What is the horizontal asymptote of the function f(x) = (3x^2 + 2)/(4x^2 + 1)?

Back

y = 3/4

Front

What does the range of a function represent?

Back

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

Front

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

Back

y > 0 (for x > 0) and y < 0 (for x < 0), but y cannot be 0.

Front

What is the difference between growth and decay in functions?

Back

Growth refers to functions that increase as x increases, while decay refers to functions that decrease as x increases.

Front

What type of function is represented by a straight line?

Back

Linear function.

Front

What is the general form of a linear function?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

What is the shape of the graph of a quadratic function?

Back

The graph of a quadratic function is a parabola.