MATH 4 - Final Exam Review #6

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 lowest point on the graph is at y=1, then the range is y≥1.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain and range?

Back

Domain: {-4, 0, 1, 2}; Range: {-4, -3, 1}

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial expression. For example, in the polynomial 2x^4 + 3x^2 + 1, the degree is 4.

Front

Describe the transformation of g(x)=f(x-4) compared to f(x).

Back

The function f(x) has been translated to the right by 4 units.

Front

How does the equation y=x+2 shift from the parent function?

Back

The equation shifts up by 2 units from the parent function y=x.

Front

What is the definition of a function?

Back

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

Front

What is the difference between domain and range?

Back

Domain refers to the set of all possible input values (x-values) for a function, while range refers to the set of all possible output values (y-values).

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as the input values increase, the output values also increase.

Front

What is a polynomial function?

Back

A polynomial function is a function that can be expressed in the form f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What is a transformation in mathematics?

Back

A transformation is an operation that moves or changes a function in some way, such as translation, reflection, or stretching.