Mathematics

Grade10

Easy

Question

The range of the exponential function $f left parenthesis x right parenthesis equals 4.6 to the power of x$ is ________.

y = 0
y > 0
y < 0
-1 < y < 1

hint Hint:

Range of positive function is always greater than zero

The correct answer is: y > 0

The values of y = f(x) are 4, 24, 144, 864 (>0) for different values of x.
So, the range of the function $f left parenthesis x right parenthesis equals 4.6 to the power of x$ is y>0.

The initial amount of the exponential function $f left parenthesis x right parenthesis equals 9.7 to the power of x$ is _________.

MathematicsGrade10

Grade10

Mathematics

The y-intercept of the function is ___________.

MathematicsGrade10

Grade10

Mathematics

The value of a if $f left parenthesis x right parenthesis equals a.3 to the power of x$ is ______.

x f(x)

0 6

1 18

2 54

3 162

MathematicsGrade10

Grade10

Mathematics

If $f left parenthesis x right parenthesis equals 4.5 to the power of x$ , then what is the value of $f left parenthesis x right parenthesis$ if $x equals 3$ ?

MathematicsGrade10

Grade10

Mathematics

Find the domain of the exponential function given.

In mathematics, a continuous function is a function such that a continuous variation of the argument induces a continuous variation of the value of the function.

Find the domain of the exponential function given.

MathematicsGrade10

In mathematics, a continuous function is a function such that a continuous variation of the argument induces a continuous variation of the value of the function.

Grade10

Mathematics

The range of the exponential function $f left parenthesis x right parenthesis equals 5.2 to the power of x$ is _________.

MathematicsGrade10

Grade10

Mathematics

The total weight of a carton box is $7 to the power of x over 3 end exponent$ and the weight of each box of chocolates is $7 to the power of x over 13 end exponent$ . Find the value of x if the carton box is filled with 49 boxes.

MathematicsGrade10

Grade10

Mathematics

An exponential function ___________.

MathematicsGrade10

Grade10

Mathematics

Observe the graph of the exponential function.
Find the domain of the function.

MathematicsGrade10

Grade10

Mathematics

Observe the graph of the exponential function.
Identify the y-intercept of the function.

MathematicsGrade10

Grade10

Mathematics

Observe the graph of the exponential function.
The range of the function is ____________.

MathematicsGrade10

Grade10

Mathematics

Combine the scientific notations.
$open parentheses 7 cross times 10 squared close parentheses open parentheses 5.2 cross times 10 to the power of 7 close parentheses$

MathematicsGrade10

Grade10

Mathematics

In February 2022, the population of the world was approximately 7900 000 000 people.
Another way of writing this number is

MathematicsGrade10

Grade10

Mathematics

Evaluate $square root of 16 plus square root of 9$ .

MathematicsGrade10

Grade10

Mathematics

Solve $2 equals open parentheses 4 to the power of 1 third end exponent close parentheses open parentheses 2 to the power of x over s end exponent close parentheses$

MathematicsGrade10

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The range of the exponential function is ________.

y = 0y > 0y < 0-1 < y < 1

Range of positive function is always greater than zero

The correct answer is: y > 0

The values of y = f(x) are 4, 24, 144, 864 (>0) for different values of x.So, the range of the function is y>0.

Related Questions to study

The initial amount of the exponential function is _________.

The initial amount of the exponential function is _________.

The y-intercept of the function is ___________.

The y-intercept of the function is ___________.

The value of a if is ______. x f(x) 0 6 1 18 2 54 3 162

The value of a if is ______. x f(x) 0 6 1 18 2 54 3 162

If , then what is the value of if ?

If , then what is the value of if ?

Find the domain of the exponential function given.

Find the domain of the exponential function given.

The range of the exponential function is _________.

The range of the exponential function is _________.

The total weight of a carton box is and the weight of each box of chocolates is . Find the value of x if the carton box is filled with 49 boxes.

The total weight of a carton box is and the weight of each box of chocolates is . Find the value of x if the carton box is filled with 49 boxes.

An exponential function ___________.

An exponential function ___________.

Observe the graph of the exponential function.Find the domain of the function.

Observe the graph of the exponential function.Find the domain of the function.

Observe the graph of the exponential function.Identify the y-intercept of the function.

Observe the graph of the exponential function.Identify the y-intercept of the function.

Observe the graph of the exponential function.The range of the function is ____________.

Observe the graph of the exponential function.The range of the function is ____________.

Combine the scientific notations.

Combine the scientific notations.

In February 2022, the population of the world was approximately 7900 000 000 people.Another way of writing this number is

In February 2022, the population of the world was approximately 7900 000 000 people.Another way of writing this number is

Evaluate .

Evaluate .

Solve

Solve

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The range of the exponential function $f left parenthesis x right parenthesis equals 4.6 to the power of x$ is ________.

y = 0
y > 0
y < 0
-1 < y < 1

The values of y = f(x) are 4, 24, 144, 864 (>0) for different values of x.
So, the range of the function $f left parenthesis x right parenthesis equals 4.6 to the power of x$ is y>0.

The initial amount of the exponential function $f left parenthesis x right parenthesis equals 9.7 to the power of x$ is _________.

The initial amount of the exponential function $f left parenthesis x right parenthesis equals 9.7 to the power of x$ is _________.

The value of a if $f left parenthesis x right parenthesis equals a.3 to the power of x$ is ______.

x f(x)

0 6

1 18

2 54

3 162

The value of a if $f left parenthesis x right parenthesis equals a.3 to the power of x$ is ______.

x f(x)

0 6

1 18

2 54

3 162

If $f left parenthesis x right parenthesis equals 4.5 to the power of x$ , then what is the value of $f left parenthesis x right parenthesis$ if $x equals 3$ ?

If $f left parenthesis x right parenthesis equals 4.5 to the power of x$ , then what is the value of $f left parenthesis x right parenthesis$ if $x equals 3$ ?

The range of the exponential function $f left parenthesis x right parenthesis equals 5.2 to the power of x$ is _________.

The range of the exponential function $f left parenthesis x right parenthesis equals 5.2 to the power of x$ is _________.

The total weight of a carton box is $7 to the power of x over 3 end exponent$ and the weight of each box of chocolates is $7 to the power of x over 13 end exponent$ . Find the value of x if the carton box is filled with 49 boxes.

The total weight of a carton box is $7 to the power of x over 3 end exponent$ and the weight of each box of chocolates is $7 to the power of x over 13 end exponent$ . Find the value of x if the carton box is filled with 49 boxes.

Observe the graph of the exponential function.
Find the domain of the function.

Observe the graph of the exponential function.
Find the domain of the function.

Observe the graph of the exponential function.
Identify the y-intercept of the function.

Observe the graph of the exponential function.
Identify the y-intercept of the function.

Observe the graph of the exponential function.
The range of the function is ____________.

Observe the graph of the exponential function.
The range of the function is ____________.

Combine the scientific notations.
$open parentheses 7 cross times 10 squared close parentheses open parentheses 5.2 cross times 10 to the power of 7 close parentheses$

Combine the scientific notations.
$open parentheses 7 cross times 10 squared close parentheses open parentheses 5.2 cross times 10 to the power of 7 close parentheses$

In February 2022, the population of the world was approximately 7900 000 000 people.
Another way of writing this number is

In February 2022, the population of the world was approximately 7900 000 000 people.
Another way of writing this number is

Evaluate $square root of 16 plus square root of 9$ .

Evaluate $square root of 16 plus square root of 9$ .

Solve $2 equals open parentheses 4 to the power of 1 third end exponent close parentheses open parentheses 2 to the power of x over s end exponent close parentheses$

Solve $2 equals open parentheses 4 to the power of 1 third end exponent close parentheses open parentheses 2 to the power of x over s end exponent close parentheses$