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

$text A businessman's monthly profit, in thousands of dollars, can be modelled by the function end text g left parenthesis x right parenthesis equals 2 x squared minus 5 x plus 3 text . Select the true statement. end text$

$Domain: (- \infty, \infty)$
$Range: (- \infty, \infty)$
$The function has an axis of symmetry at x = \frac{5}{2}$
$As x \to \infty, y \to - \infty$

hint Hint:

Here the domain of the function is set for all real numbers.

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

The domain of all quadratic functions is the set of all real numbers.
Here the domain of the function is set for all real numbers.
$text So, domain: end text left parenthesis negative infinity comma infinity right parenthesis$

Related Questions to study

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

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

MathematicsGrade10

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

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

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

parallel

Identify the function that has a minimum value of 1.

Identify the function that has a minimum value of 1.

MathematicsGrade10

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

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 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

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.

parallel

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

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

parallel

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

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

MathematicsGrade10

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

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.