Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Grade10

Easy

Question

$text The monthly sale of a new bike can be modelled by the function end text f left parenthesis x right parenthesis equals cube root of x minus 1 end root plus 4. text Select that is true about the feature of the function. end text$

$Domain: [- 1, 4]$
$The function has an axis of symmetry at x = 1$
$Range: (- \infty, \infty)$
$As x \to \infty, y \to - \infty$

hint Hint:

In the question we have to find the domain and range of the given cube root function. we know that domain and range of the cube root function are real numbers.

The correct answer is: $text Range: end text left parenthesis negative infinity comma infinity right parenthesis$

$T h e space d o m a i n space a n d space r a n g e space o f space t h e space c u b e space r o o t space f u n c t i o n comma space f left parenthesis x right parenthesis equals cube root of x comma space a r e space a l l space r e a l space n u m b r s$
Here the range of the function is the set of all real numbers.
So, range: $left parenthesis negative infinity comma infinity right parenthesis$ .

Related Questions to study

$text Find the maximum value of the function end text r left parenthesis x right parenthesis equals 2 minus square root of x plus 1 end root$

$text Find the maximum value of the function end text r left parenthesis x right parenthesis equals 2 minus square root of x plus 1 end root$

MathematicsGrade10

$text Find the end text x text -intercept and end text y text -intercept of the function end text p left parenthesis x right parenthesis equals 1 minus 5 x text . end text$

$text Find the end text x text -intercept and end text y text -intercept of the function end text p left parenthesis x right parenthesis equals 1 minus 5 x text . end text$

MathematicsGrade10

Identify the function that has a minimum value of 1.

Identify the function that has a minimum value of 1.

MathematicsGrade10

parallel

Find the x-intercept of the function x² - 2.

Find the x-intercept of the function x² - 2.

MathematicsGrade10

James started a small business. Over the days the profit is represented by the function $r left parenthesis x right parenthesis equals square root of x minus 5 end root plus 2$ .
Find the domain of the function r(x).

James started a small business. Over the days the profit is represented by the function $r left parenthesis x right parenthesis equals square root of x minus 5 end root plus 2$ .
Find the domain of the function r(x).

MathematicsGrade10

James started a small business. Over the days the profit is represented by the function $r left parenthesis x right parenthesis equals square root of x minus 5 end root plus 2$ .
Find the minimum value of the function r(x).

James started a small business. Over the days the profit is represented by the function $r left parenthesis x right parenthesis equals square root of x minus 5 end root plus 2$ .
Find the minimum value of the function r(x).

MathematicsGrade10

parallel

James started a small business. Over the days the profit is represented by the function $r left parenthesis x right parenthesis equals square root of x minus 5 end root plus 2$ .
Find the range of the function r(x).

James started a small business. Over the days the profit is represented by the function $r left parenthesis x right parenthesis equals square root of x minus 5 end root plus 2$ .
Find the range of the function r(x).

MathematicsGrade10

State the equation of the axis of symmetry for the given graph below.

So, the equation of the axis of symmetry for the given graph is is x = -3.

State the equation of the axis of symmetry for the given graph below.

MathematicsGrade10

So, the equation of the axis of symmetry for the given graph is is x = -3.

Find the domain of the function $p left parenthesis x right parenthesis equals negative 2 to the power of x$ .

Find the domain of the function $p left parenthesis x right parenthesis equals negative 2 to the power of x$ .

MathematicsGrade10

parallel

Find the domain and range of the function from the graph.

Therefore, for the given graph Domain is [-2, 2] and Range is [1, 5].

Find the domain and range of the function from the graph.

MathematicsGrade10

Therefore, for the given graph Domain is [-2, 2] and Range is [1, 5].

Find the y-intercept of the graph of the function.

Find the y-intercept of the graph of the function.

MathematicsGrade10

Find the x-intercept of the graph of the function.

Find the x-intercept of the graph of the function.

MathematicsGrade10

parallel

Look at the graph and find the range of the function.

Look at the graph and find the range of the function.

MathematicsGrade10

Find the range of the function $space g left parenthesis x right parenthesis equals vertical line x plus 1 vertical line minus 2 space$ .

Find the range of the function $space g left parenthesis x right parenthesis equals vertical line x plus 1 vertical line minus 2 space$ .

MathematicsGrade10

Find the domain of the function $f left parenthesis x right parenthesis equals x squared minus 3$ .

Hence the domain is the set of all real numbers.

Find the domain of the function $f left parenthesis x right parenthesis equals x squared minus 3$ .

MathematicsGrade10

Hence the domain is the set of all real numbers.

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.