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Algebra II Section 1 Vocabulary

Name: ___________________________________
Period: ___________________________________
Date: ____________________________________
Across
The transformation g(x) = f(2x) describes a __________ compression with a scale factor of 2.
__________ intervals: as the x values increase, the y values decrease
The transformation g(x) = f((1/2)x) describes a horizontal _______ with a scale factor of (1/2).
The transformation g(x) = f(x) - 3 describes a translation of 3 units ____.
In the example 294 ÷ 7, 294 represents the ________.
The transformation g(x) = f(x) + 5 describes a translation of 5 units __.
The transformation g(x) = (1/2)f(x) describes a vertical ___________ with a scale factor of (1/2).
The transformation g(x) = f(-x) describes a reflection over the y-____.
When given a function f(x), we can find the inverse, f^(-1), by _____________ x and y and solving for y.
Solutions, ____s, or Roots: the values for which the function equals ____. These are also the x-intercepts of the graph.
When the divisor of a rational expression is a linear factor in the form x - c, you can use a process called _________ Division.
For every one-to-one function, we can find its inverse function. The ______ of the original function becomes the input of the inverse function.
Solutions, Zeros, or Roots: the values for which the function equals zero. These are also the x-__________ of the graph.
We can use the ________ line test to determine if a graph represents a function.
For every function f(x), if the inverse of f(x) is also a function, then the function f(x) is a(n) __________ function.
To determine if a function is even or odd: 1) Substitute (-x) into the function. 3) If the resulting polynomial is the exact _________, then the function is odd.
The transformation g(x) = 2f(x) describes a ________ stretch with a scale factor of 2.
An even function has ________ about the y-axis.
________ intervals: intervals of a function f(x) over which f(x) > 0.
Relative _______: the point on a graph where the interval changes from increasing to decreasing.
The transformation g(x) = f(x + 5) describes a translation of 5 units to the ____.
To determine if a function is even or odd: 1) Substitute (-x) into the function. 4) If the resulting polynomial is ________ the same nor the exact opposite, the function is not even or odd.
Down
__________ intervals: as the x values increase, the y values increase.
The transformation g(x) = f(x - 3) describes a translation of 3 units to the _____.
If a function is ____, then f(-x) = f(x).
Relative _______: the point on a graph where the interval changes from decreasing to increasing.
A method of combining functions where the output or range from one function becomes the input or domain for another function is called a ___________ of functions. The notation is (f o g)(x) = f(g(x)). We read it "f composed with g of x" or "f of g of x."
To determine if a function is even or odd: 1) __________ (-x) into the function.
We can find the inverse of a one-to-one function by _________ the coordinates of the ordered pairs of the function.
Remember that in a(n) ________, every input value corresponds to exactly one output value.
the amount "left over" after dividing is called the _________.
______: the input or the x values
The transformation g(x) = -f(x) describes a __________ over the x-axis.
In the example 294 ÷ 7, 7 represents the ________.
_________ intervals: intervals of a function f(x) over which f(x) < 0.
If a function is ___, then f(-x) = -f(x).
To find the average ____ of change over an interval [a, b], we use the following formula: [f(b) - f(a)] / b - a.
The symbol f^(-1) is used to denote the _______ of the function f.
A special kind of function where every output value corresponds to _______ one input value is called a one-to-one function.
For any non-linear divisor, we cannot use Synthetic Division and must use ____ Division.
An odd function has symmetry about the ______.
To determine if a function is even or odd: 1) Substitute (-x) into the function. 2) If the resulting polynomial is the ____, then the function is even.
_____: the output or the y-values