Maths

Grade-10

Easy

Question

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

(-4, 2)
(2, -4)
(4, 2)
(2, 4)

hint Hint:

We know that;
f(x) = aIx – hI + k
Vertex is (h, k).

The correct answer is: (2, 4)

f(x) = aIx – hI + k
Vertex is (h, k).
Vertex is (2, 4).

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

Piecewise-Functions

10th-Grade-Math---USA

Let $f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell x plus 1 end cell cell space space space space space x less than 4 end cell row cell x plus 4 end cell cell space space space space space 4 less or equal than x less than 6 end cell row cell x plus 6 end cell cell space space space space space 6 less than x end cell end table close$ then the value of f(f(3)) is

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

Piecewise-Functions

10th-Grade-Math---USA

The value of ‘a’ in g(x) = a|x| with vertex (0, 0) & passing through (1, 3) is

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

Piecewise-Functions

10th-Grade-Math---USA

The value of $vertical line vertical line space x vertical line minus 7 vertical line$ for x = -4 is

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

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

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

(-4, 2)(2, -4)(4, 2)(2, 4)

We know that;f(x) = aIx – hI + kVertex is (h, k).

The correct answer is: (2, 4)

f(x) = aIx – hI + kVertex is (h, k).Vertex is (2, 4).

Related Questions to study

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

Let then the value of f(f(3)) is

Let then the value of f(f(3)) is

The value of ‘a’ in g(x) = a|x| with vertex (0, 0) & passing through (1, 3) is

The value of ‘a’ in g(x) = a|x| with vertex (0, 0) & passing through (1, 3) is

The value of for x = -4 is

The value of for x = -4 is

With Turito Academy.

With Turito Foundation.

Get an Expert Advice From Turito.

Turito Academy

With Turito Academy.

Test Prep

With Turito Foundation.

Courses

Quick Links

(-4, 2)
(2, -4)
(4, 2)
(2, 4)

We know that;
f(x) = aIx – hI + k
Vertex is (h, k).

f(x) = aIx – hI + k
Vertex is (h, k).
Vertex is (2, 4).

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

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

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

$open floor 5.1 close floor$ =

$open floor 5.1 close floor$ =

$open ceil 5.1 close ceil$ =

$open ceil 5.1 close ceil$ =

The value of $vertical line vertical line space x vertical line minus 7 vertical line$ for x = -4 is

The value of $vertical line vertical line space x vertical line minus 7 vertical line$ for x = -4 is