Algebra 2 - Chapter 8 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. For example, for the function f(x) = 1/x, the range is all real numbers except 0.

Front

How do you multiply and simplify rational expressions?

Back

To multiply and simplify rational expressions, multiply the numerators together and the denominators together, then simplify by canceling common factors.

Front

What happens to the graph of y=1/x when it is transformed to y=6/x?

Back

The graph of y=1/x is stretched vertically by a factor of 6 when transformed to y=6/x.

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations.

Front

What is the process for simplifying rational expressions?

Back

To simplify rational expressions, factor the numerator and denominator, then cancel any common factors.

Front

What is a vertical asymptote?

Back

A vertical asymptote is a line x = a where a function approaches infinity or negative infinity as x approaches a.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value).

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Front

What is the definition of 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

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

Back

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