Unit 4 Functions Review

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, the graph does not represent a function.

Front

What defines a function in terms of x-values and y-values?

Back

A relation is a function if each x-value has exactly one y-value associated with it.

Front

What is an x-intercept?

Back

The point where a graph intersects the x-axis, represented as (x, 0).

Front

How do you find the x-intercept of a function?

Back

Set y = 0 in the function and solve for x.

Front

What is end behavior in a graph?

Back

The behavior of the graph as x approaches positive or negative infinity.

Front

What does it mean if a function's end behavior is x→-∞, y→-∞?

Back

As x approaches negative infinity, the y-values of the function also approach negative infinity.

Front

What is function composition?

Back

The process of applying one function to the results of another function, denoted as (f◦g)(x) = f(g(x)).

Front

Given p(x) = 3x + 4, what is p(-2)?

Back

p(-2) = 3(-2) + 4 = -6 + 4 = -2.

Front

Given q(x) = 2x², what is q(3)?

Back

q(3) = 2(3)² = 2(9) = 18.

Front

What is the significance of a function having two y-values for one x-value?

Back

It indicates that the relation is not a function, as each x-value must correspond to only one y-value.