Functions Flashcards

[c,c] or {c}

True (A)

<p>f(x)=x (C)</p> Signup and view all the answers

<p>(-∞,∞)</p> Signup and view all the answers

<p>True (A)</p> Signup and view all the answers

<p>f(x)=m(x)+b (D)</p> Signup and view all the answers

<p>Neither, unless y=x</p> Signup and view all the answers

<p>f(x)=lxl (C)</p> Signup and view all the answers

<p>[0,∞)</p> Signup and view all the answers

<p>True (A)</p> Signup and view all the answers

<p>f(x)=x^2 (A)</p> Signup and view all the answers

<p>Even</p> Signup and view all the answers

<p>f(x)=x^3 (A)</p> Signup and view all the answers

<p>Odd</p> Signup and view all the answers

<p>f(x)=√x (B)</p> Signup and view all the answers

<p>[0,∞)</p> Signup and view all the answers

<p>False (B)</p> Signup and view all the answers

<p>f(x)=3√x (B)</p> Signup and view all the answers

<p>Odd</p> Signup and view all the answers

<p>f(x)=1/x (D)</p> Signup and view all the answers

<p>(-∞,0)U(0,∞)</p> Signup and view all the answers

<p>True (A)</p> Signup and view all the answers

<p>1/x^2 (C)</p> Signup and view all the answers

<p>Symmetric about the y-axis</p> Signup and view all the answers

A function where the output is always the same constant value, no matter what the input is.

A function where the output is always equal to the input.

A function whose graph is a straight line. It can be represented by the equation f(x) = mx + b, where m is the slope and b is the y-intercept.

A function that represents the distance of a number from zero, always resulting in a non-negative value.

A function where the input is squared, resulting in a parabolic graph.

A function where the input is cubed, resulting in a graph with both positive and negative values.

A function that finds the principal square root of the input. The input must be non-negative.

A function that finds the cube root of the input. It can take any real number as input.

A function where the output is the inverse of the input. It has a vertical asymptote at x = 0 and a horizontal asymptote at y = 0.

A function where the output is the square of the reciprocal of the input. It has no x-intercept or y-intercept and is symmetrical about the y-axis.

The set of all possible input values for a function.

The set of all possible output values for a function.

A function where f(-x) = f(x) for all x in the domain.

A function where f(-x) = -f(x) for all x in the domain.

The point where the graph of a function intersects the y-axis.

The rate of change of a linear function, represented by the letter 'm' in the equation f(x) = mx + b.

A line that the graph of a function approaches as x approaches positive or negative infinity. In other words, the function gets arbitrarily close to this line but never reaches it.

A vertical line that a function approaches as x approaches a specific value. The function gets infinitely close to this line but never reaches it.

A horizontal line that a function approaches as x approaches positive or negative infinity. The function gets infinitely close to this line but never reaches it.

A point on the graph of a function where the slope is zero. This indicates a change in the direction of the graph.

A function that can be represented by a single equation for all real numbers.

A function that has breaks or jumps in its graph.

A function that results in a unique output for each unique input.

A function that may have multiple inputs that lead to the same output.

A function that can be expressed as a ratio of two polynomials.