Unit 2 Test

Front

What are the zeros of a linear function?

Back

The zeros of a linear function are the values of x for which the function f(x) equals zero.

Front

How do you find the zeros of the function f(x) = -2x + 6?

Back

Set the function equal to zero: -2x + 6 = 0. Solving for x gives x = 3.

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

How do you determine the range of the function f(x) = -x^2 + 3?

Back

The range is determined by the maximum and minimum values of the function. For f(x) = -x^2 + 3, the range is -∞ < y ≤ 3.

Front

What is a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What does it mean if a mapping is not a function?

Back

If a mapping is not a function, it means that at least one input value is associated with multiple output values.

Front

How do you evaluate a function at a specific point, such as f(-2) for f(x) = x + 3?

Back

Substitute -2 into the function: f(-2) = -2 + 3 = 1.

Front

What is the significance of the vertical line test in graphing functions?

Back

The vertical line test helps to visually confirm whether a graph represents a function by checking for multiple outputs for a single input.

Front

What is the definition of a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.