Midterm Review Day 2

Front

What is the range of a graph?

Back

The range of a graph is the set of all possible output values (y-values) that a function can produce. For example, if the range is 1 ≤ y ≤ 5, it means the function can output any value from 1 to 5, inclusive.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept. For example, if the domain is {-3, -2, -1, 0, 1, 2, 3}, these are the only x-values that can be used in the function.

Front

If f(x) = -2, what is x?

Back

To find x when f(x) = -2, you need to solve the equation for x. In this case, if f(x) = x + 3, then -2 = x + 3, which gives x = -5.

Front

Evaluate f(-2) if f(x) = x + 3.

Back

To evaluate f(-2), substitute -2 into the function: f(-2) = -2 + 3 = 1.

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if every input (x-value) has exactly one output (y-value). This can be tested using the vertical line test: if a vertical line crosses the graph more than once, it is not a function.

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the difference between domain and range?

Back

The domain refers to the set of all possible input values (x-values) for a function, while the range refers to the set of all possible output values (y-values) that the function can produce.

Front

How do you determine if a relation is a function?

Back

To determine if a relation is a function, check if each input value corresponds to exactly one output value. If any input has multiple outputs, it is not a function.

Front

What is the vertical line test?

Back

The vertical line test is a method used 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 does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.