What Function Is Graphed Below?


How do you find the function of a graph?

Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line the graph does not represent a function. If no vertical line can intersect the curve more than once the graph does represent a function.

What is not a function on a graph?

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once then the graph does not define a function because a function has only one output value for each input value.

What is an odd Monomial function?

An odd monomial function is a monomial function in which the exponent of the variable is an odd number so it is a function of the form f(x) = anxn …

How do you determine a function?

How do you find the domain of a graphed function?

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values which are shown on the y-axis.

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How are exponential functions graphed?

A simple exponential function to graph is y=2x . Replacing x with −x reflects the graph across the y -axis replacing y with −y reflects it across the x -axis. … Replacing x with x+h translates the graph h units to the left.

What is function or not function?

A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.

What is the lowest value of the range of the function?

The Range is the difference between the lowest and highest values. Example: In {4 6 9 3 7} the lowest value is 3 and the highest is 9. So the range is 9 − 3 = 6.

How do you know if an equation is a function or not?

What is Monomial function?

Mono means “one.” So monomial functions are those expressions that only have the one term. While a monomial can be a single number variable or combination of a number and variables it can’t be a negative exponent. Therefore monomials have two rules.

What is the end behavior of the graph of the polynomial function y 10×9 4x quizlet?

What is the end behavior of the graph of the polynomial function y = 10x^9 – 4x? As x-> – infinity then y -> infinity and as x-> infinity then y -> infinity.

How can you tell if a function is even or odd by looking at the graph?

If a function is even the graph is symmetrical about the y-axis. If the function is odd the graph is symmetrical about the origin. Even function: The mathematical definition of an even function is f(–x) = f(x) for any value of x.

What is identity function with example?

An identity function is a function where each element in a set B gives the image of itself as the same element i.e. g (b) = b ∀ b ∈ B. Thus it takes the form g(x) = x and it is denoted by “I”. … The output of an identity function is the same as its input. For example g(0) = 0 and g(2) = 2.

What is the graph of a constant function?

The graph of a constant function is a horizontal line that is a line with slope 0. … For example the function is a constant function with respect to its input variable x.

When graphing a function what is meant by the input and output values?

A function is a specific type of relation in which each input value has one and only one output value. An input is the independent value and the output value is the dependent value as it depends on the value of the input.

How do you find the range of a graphed function?

Remember that the range is how far the graph goes from down to up. Look at the furthest point down on the graph or the bottom of the graph. The y-value at this point is y = 1 y=1 y=1. Now look at how far up the graph goes or the top of the graph.

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What is a decreasing graph?

Decreasing: A function is decreasing if as x increases (reading from left to right) y decreases. In plain English as you look at the graph from left to right the graph goes down-hill. The graph has a negative slope.

How do you find the domain and range without graphing?

What is graph of quadratic function?

The graph of a quadratic function is a U-shaped curve called a parabola. … The extreme point ( maximum or minimum ) of a parabola is called the vertex and the axis of symmetry is a vertical line that passes through the vertex. The x-intercepts are the points at which the parabola crosses the x-axis.

What is the graph of a rational function?

Rational functions are of the form y=f(x) where f(x) is a rational expression . The graphs of the rational functions can be difficult to draw. To sketch a graph of a rational function you can start by finding the asymptotes and intercepts.

What is linear function graph?

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

What is a function on a graph examples?

Let f(x) = x2 – 3.

Graphs of functions are graphs of equations that have been solved for y! The graph of f(x) in this example is the graph of y = x2 – 3. It is easy to generate points on the graph. Choose a value for the first coordinate then evaluate f at that number to find the second coordinate.

What are non functions?

a : having no function : serving or performing no useful purpose Naive art … tends to be decorative and nonfunctional.— Robert Atkins. b : not performing or able to perform a regular function … the entire network is rendered nonfunctional if the central controller fails.—

Is y a repeating function?

A function is a relation in which the members of the domain (x-values) DO NOT repeat. So for every x-value there is only one y-value that corresponds to it. y-values can be repeated.

Which statement correctly identifies a local minimum of the graphed function?

Which statement correctly identifies a local minimum of the graphed function? Over the interval [-1 0.5] the local minimum is 1.

What does F 0 represent?

Answer and Explanation:

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The expression f(0) represents the y-intercept on the graph of f(x). The y-intercept of a graph is the point where the graph crosses the y-axis.

What does the function f 14 )= 11 mean?

y = f(x) so f(-14) = 11. means x = -14 and y =11.

How do you determine if an equation is a function without graphing?

One way to find whether an equation is function or not without graph is to solve for y. For an equation to be a function make sure each value of x must give one and only one value of y. If any value of x ( x is in domain of function ) give more than one value of y then the equation is not function.

How do you tell if an inverse is a function without graphing?

The inverse of a function will reverse the output and the input. To find the inverse of a function using algebra (if the inverse exists) set the function equal to y. Then swap x and y and solve for y in terms of x.

How do you determine if a function is one to one without a graph?

Use the Horizontal Line Test. If no horizontal line intersects the graph of the function f in more than one point then the function is 1 -to- 1 . A function f has an inverse f−1 (read f inverse) if and only if the function is 1 -to- 1 .

Are Monomials power functions?

Which is constant polynomial?

A polynomial with degree 0 is called a constant polynomial. Any constant number for example 3 4/5 679 8.34 are examples of constant polynomials.

Is 7 a term?

The 5x is one term and the 7y is the second term. The two terms are separated by a plus sign. + 7 is a three termed expression.

Which expression is a possible leading term for the polynomial function graphed below?

4x⁸ is a possible leading term for the polynomial function graphed below. and negative leading coefficient.

Ex 2: Determine the Function From the Graph of a Piecewise Defined Function

Ex 1: Use the Vertical Line Test to Determine if a Graph Represents a Function

Ex 3: Find the Equation of Rational Function From a Graph

Writing the Function of a Cubic Given a Graph

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