Question 1

IN A FUNCTION, EACH INPUT MAPS TO HOW MANY OUTPUTS?

Accepted Answer

EXACTLY ONE. A function assigns each input exactly one output value.

Question 2

THE SET OF ALL INPUTS OF A FUNCTION IS CALLED ITS ___.

Accepted Answer

DOMAIN. The domain is the set of all valid input values (x-values) of a function.

Question 3

THE SET OF ALL OUTPUTS OF A FUNCTION IS CALLED THE?

Accepted Answer

RANGE. The range is the set of all output values (y-values) a function produces.

Question 4

IN F OF X, THE LETTER X REPRESENTS THE?

Accepted Answer

INPUT. In function notation f(x), x is the input, also called the independent variable.

Question 5

THE VARIABLE THAT DEPENDS ON THE INPUT IS THE ___ VARIABLE.

Accepted Answer

DEPENDENT. The dependent variable (output, y) changes in response to the independent variable.

Question 6

A FUNCTION THAT GRAPHS AS A STRAIGHT LINE IS CALLED?

Accepted Answer

LINEAR. A linear function has a constant rate of change and graphs as a straight line.

Question 7

A FUNCTION WHOSE GRAPH IS A PARABOLA IS A ___ FUNCTION.

Accepted Answer

QUADRATIC. A quadratic function has the form y = ax^2 + bx + c and graphs as a U-shaped parabola.

Question 8

THE U-SHAPED GRAPH OF A QUADRATIC FUNCTION IS A?

Accepted Answer

PARABOLA. A parabola is the symmetric U-shaped curve formed by a quadratic function.

Question 9

THE TURNING POINT OF A PARABOLA IS CALLED THE?

Accepted Answer

VERTEX. The vertex is the maximum or minimum point of a parabola.

Question 10

A LINE A GRAPH APPROACHES BUT NEVER TOUCHES IS AN ___.

Accepted Answer

ASYMPTOTE. An asymptote is a line that a graph gets infinitely close to but never reaches.

Question 11

WHICH TEST CHECKS IF A GRAPH REPRESENTS A FUNCTION?

Accepted Answer

VERTICAL LINE TEST. If any vertical line crosses a graph more than once, it is not a function.

Question 12

AN X-VALUE WHERE A FUNCTION EQUALS ZERO IS CALLED A ___.

Accepted Answer

ROOT. A root (or zero) is an x-value where the output is zero, where the graph meets the x-axis.

Question 13

WHERE A GRAPH CROSSES THE Y-AXIS IS THE?

Accepted Answer

Y-INTERCEPT. The y-intercept is the point where x = 0 and the graph meets the y-axis.

Question 14

A FUNCTION WITH A CONSTANT GROWTH RATIO IS?

Accepted Answer

EXPONENTIAL. An exponential function multiplies by a constant factor for equal steps in x.

Question 15

PLUGGING ONE FUNCTION INTO ANOTHER CREATES A ___ FUNCTION.

Accepted Answer

COMPOSITE. A composite function f(g(x)) applies one function to the result of another.

Question 16

A FUNCTION THAT REVERSES ANOTHER FUNCTION IS ITS?

Accepted Answer

INVERSE. An inverse function undoes the original, swapping its inputs and outputs.

Question 17

THE SIMPLEST FORM OF A FAMILY OF FUNCTIONS IS THE ___ FUNCTION.

Accepted Answer

PARENT. The parent function is the most basic function of a family, before any transformations.

Question 18

SHIFTING A GRAPH WITHOUT CHANGING ITS SHAPE IS A?

Accepted Answer

TRANSLATION. A translation slides a graph horizontally or vertically without resizing it.

Question 19

FLIPPING A GRAPH OVER AN AXIS IS A?

Accepted Answer

REFLECTION. A reflection mirrors a graph across an axis, such as the x-axis or y-axis.

Question 20

A FUNCTION SYMMETRIC ABOUT THE Y-AXIS IS CALLED AN ___ FUNCTION.

Accepted Answer

EVEN. An even function satisfies f(-x) = f(x) and is symmetric about the y-axis.

Question 21

A FUNCTION WHERE F OF NEGATIVE X EQUALS NEGATIVE F OF X IS?

Accepted Answer

ODD. An odd function has rotational symmetry about the origin: f(-x) = -f(x).

Question 22

THE VERTICAL LINE THROUGH A PARABOLA'S VERTEX IS THE AXIS OF ___.

Accepted Answer

SYMMETRY. The axis of symmetry is the vertical line that divides a parabola into mirror halves.

Question 23

A FUNCTION DEFINED BY DIFFERENT RULES ON INTERVALS IS?

Accepted Answer

PIECEWISE. A piecewise function uses different expressions for different parts of its domain.

Question 24

A RELATION IS A FUNCTION ONLY IF EACH INPUT HAS ONE ___.

Accepted Answer

OUTPUT. A relation qualifies as a function only when every input is paired with exactly one output.

FUNCTIONS

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