Maths

Grade-10

Easy

Question

Write a function for the graph.

f(x) = Ix + 2I – 1
f(x) = 0.5Ix – 2I – 1
f(x) = 0.5Ix + 2I – 1
f(x) = 2Ix + 3I + 4

hint Hint:

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

The correct answer is: f(x) = 0.5Ix – 2I – 1

Here, we have to find the equation of the given graph.
f(x) = a I(x – h)I + k
Vertex is (2, -1).
So h = 2, k = -1
y = a I x – 2 I – 1.
The graph also passes through (4, 0).
0 = a I 4 – 2 I – 1 … 2a = 1..a = 0.5
f(x) = 0.5 I x – 2I – 1.
Hence, the correct option is B.

A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).

The graph of the relationship between the distance traveled and the cost of a car rental is shown.

list the interval on which the graph is increasing, and explain what it represents

MathematicsGrade10

Grade10

Mathematics

The graph of the relationship between the distance traveled and the cost of a car rental is shown.

List the interval at which the graph is constant and explain what it represents

MathematicsGrade10

Grade-10

Maths

Find the vertex of the function. f(x) = Ix – 2I + 4

MathsGrade-10

Grade10

Mathematics

A piecewise-defined function is shown.
$straight f left parenthesis straight x right parenthesis equals open curly brackets table attributes columnalign right columnspacing 1em end attributes row cell straight x minus 1 comma straight x less than straight n end cell row cell negative straight x plus 4 comma straight x greater or equal than straight n end cell end table close$
select the correct option mentioned below.
Statement 1: If the value of n changes, then the range of the function also changes.
Statement 2: If the value of n = 4, then the range is f(x) ≤ 2.

MathematicsGrade10

Grade10

Mathematics

A function f is defined by the rule -0.5x + 1 for the domain x < 1 and by the rule x for the domain x ≥ 1. Write the piecewise-defined function f using function notation

MathematicsGrade10

Grade10

Mathematics

Let $f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell x plus 1 end cell cell space space space space 0 less or equal than x less than 4 end cell row cell x plus 4 end cell cell space space space space 4 less or equal than x less than 6 end cell row cell x plus 6 end cell cell space space space space 6 less or equal than x less or equal than 8 end cell end table close$ then the domain of f is

10th-Grade-Math---USAPiecewise-Functions

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Write a function for the graph.

f(x) = Ix + 2I – 1f(x) = 0.5Ix – 2I – 1f(x) = 0.5Ix + 2I – 1f(x) = 2Ix + 3I + 4

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

The correct answer is: f(x) = 0.5Ix – 2I – 1

Here, we have to find the equation of the given graph.f(x) = a I(x – h)I + kVertex is (2, -1).So h = 2, k = -1y = a I x – 2 I – 1.The graph also passes through (4, 0).0 = a I 4 – 2 I – 1 … 2a = 1..a = 0.5f(x) = 0.5 I x – 2I – 1.Hence, the correct option is B.

Related Questions to study

The graph of the relationship between the distance traveled and the cost of a car rental is shown.list the interval on which the graph is increasing, and explain what it represents

The graph of the relationship between the distance traveled and the cost of a car rental is shown.list the interval on which the graph is increasing, and explain what it represents

The graph of the relationship between the distance traveled and the cost of a car rental is shown.List the interval at which the graph is constant and explain what it represents

The graph of the relationship between the distance traveled and the cost of a car rental is shown.List the interval at which the graph is constant and explain what it represents

Find the vertex of the function. f(x) = Ix – 2I + 4

Find the vertex of the function. f(x) = Ix – 2I + 4

A piecewise-defined function is shown.select the correct option mentioned below.Statement 1: If the value of n changes, then the range of the function also changes. Statement 2: If the value of n = 4, then the range is f(x) ≤ 2.

A piecewise-defined function is shown.select the correct option mentioned below.Statement 1: If the value of n changes, then the range of the function also changes. Statement 2: If the value of n = 4, then the range is f(x) ≤ 2.

A function f is defined by the rule -0.5x + 1 for the domain x < 1 and by the rule x for the domain x ≥ 1. Write the piecewise-defined function f using function notation

A function f is defined by the rule -0.5x + 1 for the domain x < 1 and by the rule x for the domain x ≥ 1. Write the piecewise-defined function f using function notation

Express the function as a piecewise-defined function.f(x) = -2 IxI

Express the function as a piecewise-defined function.f(x) = -2 IxI

Express the function as a piecewise-defined function.f(x) = 5IxI

Express the function as a piecewise-defined function.f(x) = 5IxI

The evaluation of the function f(x) = [x], x = 2.65 is ____.

The evaluation of the function f(x) = [x], x = 2.65 is ____.

The piecewise-defined function of f(x) = 2|x| is _____.

The piecewise-defined function of f(x) = 2|x| is _____.

Identify the function from the graph

Identify the function from the graph

=

=

The function having the same graph as f(x) = 4|x – 2| + 2 is

The function having the same graph as f(x) = 4|x – 2| + 2 is

=

=

=

=

Let then the domain of f is

Let then the domain of f is

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f(x) = Ix + 2I – 1
f(x) = 0.5Ix – 2I – 1
f(x) = 0.5Ix + 2I – 1
f(x) = 2Ix + 3I + 4

Here, we have to find the equation of the given graph.
f(x) = a I(x – h)I + k
Vertex is (2, -1).
So h = 2, k = -1
y = a I x – 2 I – 1.
The graph also passes through (4, 0).
0 = a I 4 – 2 I – 1 … 2a = 1..a = 0.5
f(x) = 0.5 I x – 2I – 1.
Hence, the correct option is B.

The graph of the relationship between the distance traveled and the cost of a car rental is shown.

list the interval on which the graph is increasing, and explain what it represents

The graph of the relationship between the distance traveled and the cost of a car rental is shown.

list the interval on which the graph is increasing, and explain what it represents

The graph of the relationship between the distance traveled and the cost of a car rental is shown.

List the interval at which the graph is constant and explain what it represents

The graph of the relationship between the distance traveled and the cost of a car rental is shown.

List the interval at which the graph is constant and explain what it represents

Express the function as a piecewise-defined function.
f(x) = -2 IxI

Express the function as a piecewise-defined function.
f(x) = -2 IxI

Express the function as a piecewise-defined function.
f(x) = 5IxI

Express the function as a piecewise-defined function.
f(x) = 5IxI

$left ceiling 2.4 right ceiling minus left floor 2.4 right floor$ =

$left ceiling 2.4 right ceiling minus left floor 2.4 right floor$ =

$open floor 5.1 close floor$ =

$open floor 5.1 close floor$ =

$open ceil 5.1 close ceil$ =

$open ceil 5.1 close ceil$ =