Mathematics

Grade10

Easy

Question

The graph of the relationship between the distance traveled and the cost of a car rental is shown.

List the interval at which the graph is constant and explain what it represents

x ≤ 150 , fixed cost of $ 50
0 ≤ x ≤ 150 , fixed costs of $ 50 for distances up to 150 miles
0 < x ≤ 150 , fixed cost of $ 50 for distances up to 150 miles
x ≥ 150 , fixed cost of $ 50

hint Hint:

We observe the graph closely and find out the results accordingly.

The correct answer is: 0 < x ≤ 150 , fixed cost of $ 50 for distances up to 150 miles

Step 1 of 1:

Observe that, if the distance covered by the car rental is less than 150 miles and is not zero, the cost remains the same at $ 50
So, the interval within which the graph is constant is 0 < x ≤ 150.
Final Answer:
The right choice is- d. 0 < x ≤ 150, fixed cost of $ 50 for distances up to 150 miles.

Find the vertex of the function. f(x) = Ix – 2I + 4

MathsGrade-10

Grade10

Mathematics

A piecewise-defined function is shown.
$straight f left parenthesis straight x right parenthesis equals open curly brackets table attributes columnalign right columnspacing 1em end attributes row cell straight x minus 1 comma straight x less than straight n end cell row cell negative straight x plus 4 comma straight x greater or equal than straight n end cell end table close$
select the correct option mentioned below.
Statement 1: If the value of n changes, then the range of the function also changes.
Statement 2: If the value of n = 4, then the range is f(x) ≤ 2.

MathematicsGrade10

Grade10

Mathematics

A function f is defined by the rule -0.5x + 1 for the domain x < 1 and by the rule x for the domain x ≥ 1. Write the piecewise-defined function f using function notation

MathematicsGrade10

Grade10

Mathematics

Let $f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell x plus 1 end cell cell space space space space 0 less or equal than x less than 4 end cell row cell x plus 4 end cell cell space space space space 4 less or equal than x less than 6 end cell row cell x plus 6 end cell cell space space space space 6 less or equal than x less or equal than 8 end cell end table close$ then the domain of f is

10th-Grade-Math---USAPiecewise-Functions

Piecewise-Functions

10th-Grade-Math---USA

Let $f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell x plus 1 end cell cell space space space space space x less than 4 end cell row cell x plus 4 end cell cell space space space space space 4 less or equal than x less than 6 end cell row cell x plus 6 end cell cell space space space space space 6 less than x end cell end table close$ then the value of f(f(3)) is

10th-Grade-Math---USAPiecewise-Functions

Piecewise-Functions

10th-Grade-Math---USA

The value of ‘a’ in g(x) = a|x| with vertex (0, 0) & passing through (1, 3) is

10th-Grade-Math---USAPiecewise-Functions

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The graph of the relationship between the distance traveled and the cost of a car rental is shown.List the interval at which the graph is constant and explain what it represents

x ≤ 150 , fixed cost of $ 50 0 ≤ x ≤ 150 , fixed costs of $ 50 for distances up to 150 miles0 < x ≤ 150 , fixed cost of $ 50 for distances up to 150 milesx ≥ 150 , fixed cost of $ 50

We observe the graph closely and find out the results accordingly.

The correct answer is: 0 < x ≤ 150 , fixed cost of $ 50 for distances up to 150 miles

Related Questions to study

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A function f is defined by the rule -0.5x + 1 for the domain x < 1 and by the rule x for the domain x ≥ 1. Write the piecewise-defined function f using function notation

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The graph of the relationship between the distance traveled and the cost of a car rental is shown.

List the interval at which the graph is constant and explain what it represents

x ≤ 150 , fixed cost of $ 50
0 ≤ x ≤ 150 , fixed costs of $ 50 for distances up to 150 miles
0 < x ≤ 150 , fixed cost of $ 50 for distances up to 150 miles
x ≥ 150 , fixed cost of $ 50

Express the function as a piecewise-defined function.
f(x) = -2 IxI

Express the function as a piecewise-defined function.
f(x) = -2 IxI

Express the function as a piecewise-defined function.
f(x) = 5IxI

Express the function as a piecewise-defined function.
f(x) = 5IxI

$left ceiling 2.4 right ceiling minus left floor 2.4 right floor$ =

$left ceiling 2.4 right ceiling minus left floor 2.4 right floor$ =

$open floor 5.1 close floor$ =

$open floor 5.1 close floor$ =

$open ceil 5.1 close ceil$ =

$open ceil 5.1 close ceil$ =