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Mathematics

Functions

Easy

Question

Study the graph and choose the correct option.

The graph is decreasing in intervals (1) and (4)
The graph shows a constant function in interval (2)
The graph is increasing in intervals (2) and (4)
The graph has a constant rate of change

The correct answer is: The graph is decreasing in intervals (1) and (4)

Related Questions to study

From the graph, identify the interval the function is constant.

From the graph, identify the interval the function is constant.

MathematicsFunctions

The linear equation of line passing through the points (4,19) and (9,24) is

The linear equation of line passing through the points (4,19) and (9,24) is

MathematicsFunctions

The equation of line from the graph is

The equation of line from the graph is

MathematicsFunctions

parallel

The linear function whose constant rate is 2 & initial value -1 is

The linear function whose constant rate is 2 & initial value -1 is

MathematicsFunctions

From the following pick the odd one out.

From the following pick the odd one out.

MathematicsFunctions

Jacob wants to go to Los Angeles from San Francisco, a journey of 382 miles. He already covered 50 miles. If he travels at a speed of 51 miles per hour to reach his destination. Represent the statement in equation.

Jacob wants to go to Los Angeles from San Francisco, a journey of 382 miles. He already covered 50 miles. If he travels at a speed of 51 miles per hour to reach his destination. Represent the statement in equation.

MathematicsFunctions

parallel

If the table represents the function, then the charges for parking at zoo for 6 hrs is

Time (up to hrs.)
1
2
3
4
5

Cost ($)
4
8
12
16
20

If the table represents the function, then the charges for parking at zoo for 6 hrs is

Time (up to hrs.)
1
2
3
4
5

Cost ($)
4
8
12
16
20

MathematicsFunctions

From the Arrow Diagram the value of f(2) is

From the Arrow Diagram the value of f(2) is

MathematicsFunctions

Identify the function from the following.

Identify the function from the following.

MathematicsFunctions

parallel

$text If end text f colon R not stretchy rightwards arrow R comma f left parenthesis x right parenthesis equals x cubed plus 3 comma text and end text g colon R not stretchy rightwards arrow R comma g left parenthesis x right parenthesis equals 2 x plus 1 text then end text f to the power of negative 1 end exponent o g to the power of negative 1 end exponent left parenthesis 23 right parenthesis text equals end text$

$text If end text f colon R not stretchy rightwards arrow R comma f left parenthesis x right parenthesis equals x cubed plus 3 comma text and end text g colon R not stretchy rightwards arrow R comma g left parenthesis x right parenthesis equals 2 x plus 1 text then end text f to the power of negative 1 end exponent o g to the power of negative 1 end exponent left parenthesis 23 right parenthesis text equals end text$

MathematicsFunctions

$text Let end text f left parenthesis x right parenthesis equals fraction numerator a x plus b over denominator c x plus d end fraction text then end text f left square bracket f left parenthesis x right parenthesis right square bracket equals x text provided that end text$

$text Let end text f left parenthesis x right parenthesis equals fraction numerator a x plus b over denominator c x plus d end fraction text then end text f left square bracket f left parenthesis x right parenthesis right square bracket equals x text provided that end text$

MathematicsFunctions

$text If the function end text f colon R minus left curly bracket 1 comma negative 1 right curly bracket not stretchy rightwards arrow A text defined by end text f left parenthesis x right parenthesis equals fraction numerator x squared over denominator 1 minus x squared end fraction comma text end text$ is surjective then A =

$text If the function end text f colon R minus left curly bracket 1 comma negative 1 right curly bracket not stretchy rightwards arrow A text defined by end text f left parenthesis x right parenthesis equals fraction numerator x squared over denominator 1 minus x squared end fraction comma text end text$ is surjective then A =

MathematicsFunctions

parallel

$text If end text f colon R not stretchy rightwards arrow A text defined by end text f left parenthesis x right parenthesis equals fraction numerator 1 over denominator x squared plus 2 x plus 2 end fraction straight for all x element of R text is surjective, then end text A equals$

$text If end text f colon R not stretchy rightwards arrow A text defined by end text f left parenthesis x right parenthesis equals fraction numerator 1 over denominator x squared plus 2 x plus 2 end fraction straight for all x element of R text is surjective, then end text A equals$

MathematicsFunctions

If x and {x} represents integral and fractional parts of x,then $left square bracket x right square bracket plus sum from r equals 1 to 2000 of fraction numerator left curly bracket x plus r right curly bracket over denominator 2000 end fraction equals$

If x and {x} represents integral and fractional parts of x,then $left square bracket x right square bracket plus sum from r equals 1 to 2000 of fraction numerator left curly bracket x plus r right curly bracket over denominator 2000 end fraction equals$

MathematicsFunctions

The range of the function $f left parenthesis x right parenthesis equals left square bracket sin x plus cos x right square bracket text (where end text left square bracket x right square bracket$ denotes the greatest integer function is

The range of the function $f left parenthesis x right parenthesis equals left square bracket sin x plus cos x right square bracket text (where end text left square bracket x right square bracket$ denotes the greatest integer function is

MathematicsFunctions

parallel

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