Mathematics

Grade10

Easy

Question

The function that best models the data set given.

Linear function
Exponential function
Quadratic function
Binomial function

hint Hint:

The exponential function is a mathematical function denoted by f(x)=e^{x}.

The correct answer is: Exponential function

The first differences of the data set are not constant.

The second differences of the set are also not constant.

The ratio of the consecutive y - values is constant.

If the ratios of consecutive y - values of a data set are constant, then the data set can be best modelled with an exponential function.
Hence, an exponential function best models the given data set.

An exponential function is a mathematical function of the following form: f ( x ) = a^x, where x is a variable, and a is a constant called the base of the function.

Write a quadratic function for the maximum height, if the initial velocity is 150 $fraction numerator f t over denominator s end fraction$ , the initial height is 30 ft.

We have, h = ut - 1/2gt².

Write a quadratic function for the maximum height, if the initial velocity is 150 $fraction numerator f t over denominator s end fraction$ , the initial height is 30 ft.

MathematicsGrade10

We have, h = ut - 1/2gt².

Grade10

Mathematics

If a function f(x) = (x + 3)² - 1 exists, it is away from the parent function as ___________.

MathematicsGrade10

Grade10

Mathematics

Find the axis of symmetry of graph g(x) = -2(x - 1)² + 4.

MathematicsGrade10

Grade10

Mathematics

The axis of symmetry intersects that divides the graph of f(x) = 2x² + 5 is _______.

MathematicsGrade10

Grade10

Mathematics

$h left parenthesis x right parenthesis equals negative 0.15 x squared text is the reflection of end text h left parenthesis x right parenthesis equals 0.15 x squared text over the end text$ ______________.

MathematicsGrade10

Grade10

Mathematics

Graph f(x) = x² + 6 is a translation of the parent function but is moved ________.

MathematicsGrade10

Grade10

Mathematics

The graph of f(x)=3.5x² _________.

MathematicsGrade10

Grade10

Mathematics

What can be the value of a if the graph of f(x) = ax² opens upward and is narrower than the quadratic parent function?

MathematicsGrade10

Grade10

Mathematics

What is the vertex of the function g(x) = (x - h)²?

MathematicsGrade10

Grade10

Mathematics

How does the function h(x) = - 3(x - 1)² + 7 compare to the parent function?

MathematicsGrade10

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Can’t find what you’re looking for?

The function that best models the data set given.

Linear function Exponential function Quadratic function Binomial function

The exponential function is a mathematical function denoted by f(x)=e^{x}.

The correct answer is: Exponential function

Related Questions to study

Write a quadratic function for the maximum height, if the initial velocity is 150 , the initial height is 30 ft.

Write a quadratic function for the maximum height, if the initial velocity is 150 , the initial height is 30 ft.

If a function f(x) = (x + 3)2 - 1 exists, it is away from the parent function as ___________.

If a function f(x) = (x + 3)2 - 1 exists, it is away from the parent function as ___________.

Find the axis of symmetry of graph g(x) = -2(x - 1)2 + 4.

Find the axis of symmetry of graph g(x) = -2(x - 1)2 + 4.

The axis of symmetry intersects that divides the graph of f(x) = 2x2 + 5 is _______.

The axis of symmetry intersects that divides the graph of f(x) = 2x2 + 5 is _______.

Find the vertex of f(x) = (x - 4)2 + 9.

Find the vertex of f(x) = (x - 4)2 + 9.

The graph of the function f(x) = - 2(x - 3)2 + 5 is

The graph of the function f(x) = - 2(x - 3)2 + 5 is

In which part will the graph of quadratic function d(x)=0.8x2 increase?

In which part will the graph of quadratic function d(x)=0.8x2 increase?

What is the value of g(x) when x =3 if the function is defined as g(x)=6x2?

What is the value of g(x) when x =3 if the function is defined as g(x)=6x2?

What intersects the vertex and divides the parabola in half?

What intersects the vertex and divides the parabola in half?

______________.

______________.

Graph f(x) = x2 + 6 is a translation of the parent function but is moved ________.

Graph f(x) = x2 + 6 is a translation of the parent function but is moved ________.

The graph of f(x)=3.5x2 _________.

The graph of f(x)=3.5x2 _________.

What can be the value of a if the graph of f(x) = ax2 opens upward and is narrower than the quadratic parent function?

What can be the value of a if the graph of f(x) = ax2 opens upward and is narrower than the quadratic parent function?

What is the vertex of the function g(x) = (x - h)2?

What is the vertex of the function g(x) = (x - h)2?

How does the function h(x) = - 3(x - 1)2 + 7 compare to the parent function?

How does the function h(x) = - 3(x - 1)2 + 7 compare to the parent function?

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Linear function
Exponential function
Quadratic function
Binomial function

Write a quadratic function for the maximum height, if the initial velocity is 150 $fraction numerator f t over denominator s end fraction$ , the initial height is 30 ft.

Write a quadratic function for the maximum height, if the initial velocity is 150 $fraction numerator f t over denominator s end fraction$ , the initial height is 30 ft.

If a function f(x) = (x + 3)² - 1 exists, it is away from the parent function as ___________.

If a function f(x) = (x + 3)² - 1 exists, it is away from the parent function as ___________.

Find the axis of symmetry of graph g(x) = -2(x - 1)² + 4.

Find the axis of symmetry of graph g(x) = -2(x - 1)² + 4.

The axis of symmetry intersects that divides the graph of f(x) = 2x² + 5 is _______.

The axis of symmetry intersects that divides the graph of f(x) = 2x² + 5 is _______.

Find the vertex of f(x) = (x - 4)² + 9.

Find the vertex of f(x) = (x - 4)² + 9.

The graph of the function f(x) = - 2(x - 3)² + 5 is

The graph of the function f(x) = - 2(x - 3)² + 5 is

In which part will the graph of quadratic function d(x)=0.8x² increase?

In which part will the graph of quadratic function d(x)=0.8x² increase?

What is the value of g(x) when x =3 if the function is defined as g(x)=6x²?

What is the value of g(x) when x =3 if the function is defined as g(x)=6x²?

$h left parenthesis x right parenthesis equals negative 0.15 x squared text is the reflection of end text h left parenthesis x right parenthesis equals 0.15 x squared text over the end text$ ______________.

$h left parenthesis x right parenthesis equals negative 0.15 x squared text is the reflection of end text h left parenthesis x right parenthesis equals 0.15 x squared text over the end text$ ______________.

Graph f(x) = x² + 6 is a translation of the parent function but is moved ________.

Graph f(x) = x² + 6 is a translation of the parent function but is moved ________.

The graph of f(x)=3.5x² _________.

The graph of f(x)=3.5x² _________.

What can be the value of a if the graph of f(x) = ax² opens upward and is narrower than the quadratic parent function?

What can be the value of a if the graph of f(x) = ax² opens upward and is narrower than the quadratic parent function?

What is the vertex of the function g(x) = (x - h)²?

What is the vertex of the function g(x) = (x - h)²?

How does the function h(x) = - 3(x - 1)² + 7 compare to the parent function?

How does the function h(x) = - 3(x - 1)² + 7 compare to the parent function?