Pds 1/3 Extra Credit for Function Test

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 based on its domain.

Front

How do you determine the range of a function given a specific domain?

Back

To determine the range, evaluate the function for each value in the domain and collect the resulting output values.

Front

What is the function f(x) = x^2 + 2 when x = -1, 0, 1?

Back

f(-1) = 1, f(0) = 2, f(1) = 3. The range is {2, 3}.

Front

What does it mean if a function has multiple outputs for a single input?

Back

A function cannot have multiple outputs for a single input; this violates the definition of a function.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What is the value of x when f(x) = 16 for the function f(x) = x^2?

Back

x = 4 and x = -4.

Front

What is the difference between domain and range?

Back

The domain is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values) of a function.

Front

What does the notation -7 ≤ y ≤ 2 represent?

Back

This notation indicates that y can take any value from -7 to 2, inclusive.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation, and it represents the maximum or minimum value of the function.

Front

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

Back

To find the x-intercepts, set the function equal to zero and solve for x.