Question
Selena needs at least 22 subway rides for the month. She has two options for buying subways cards. Write a function that represents the situation
- f(x) : {(1.25x , 1 ≤ x ≤ 25) , (x , x > 25)}
- f(x) : {(1.25x + 3 , 1 ≤ x ≤ 25) , (x , x > 25)}
- f(x) : {(x , 1 ≤ x ≤ 25) , (1.25x + 3 , x > 25)}
- f(x) : {(1.25x – 3 , 1 ≤ x ≤ 25) , (x , x > 25)}
Hint:
We create intervals for both statements one by one. Then, we create the corresponding functions.
The correct answer is: f(x) : {(1.25x + 3 , 1 ≤ x ≤ 25) , (x , x > 25)}
Step 1 of 1:
The first statement states that for the first 1 to 25 rides, $1.25 each + $3 card fee
So, for 1 ≤ x ≤ 25, f(x) = 1.25x + 3
The second statement states that after the 25th ride, $1 each + no card fee
So, for x > 25, f(x) = x
Final Answer:
The right choice is- c. f(x) : {(1.25x + 3 , 1 ≤ x ≤ 25) , (x , x > 25)}
Related Questions to study
Write a function for the graph.
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
Write a function for the graph.
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
Find the vertex of the function. f(x) = Ix + 7I – 2
Find the vertex of the function. f(x) = Ix + 7I – 2
Find the vertex of the function. f(x) = IxI – 2
Find the vertex of the function. f(x) = IxI – 2
The piecewise-defined function f(x) is shown.
f(x) = x + 2 , x ≤ 0
f(x) = 4x , x > 0
What is f(−3)?
The piecewise-defined function f(x) is shown.
f(x) = x + 2 , x ≤ 0
f(x) = 4x , x > 0
What is f(−3)?
Evaluate the following piecewise function for x = -1 and x = 6.
Evaluate the following piecewise function for x = -1 and x = 6.
Find the vertex of the function. f(x) = -3Ix + 1I – 5
Find the vertex of the function. f(x) = -3Ix + 1I – 5
Express the function as a piecewise-defined function.
f(x) = -1.5 IxI
Express the function as a piecewise-defined function.
f(x) = -1.5 IxI
What function has the same graph as f(x) = 4Ix – 2I + 2?
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
What function has the same graph as f(x) = 4Ix – 2I + 2?
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
The function g is the transformation of f(x) = IxI given by g(x) = -f(x + 15) – 7. Find the value of f(x) and g(x) for x = 3?
The function g is the transformation of f(x) = IxI given by g(x) = -f(x + 15) – 7. Find the value of f(x) and g(x) for x = 3?
Express the function as a piecewise-defined function.
f(x) = 0.5 IxI
Express the function as a piecewise-defined function.
f(x) = 0.5 IxI
Evaluate the following piecewise function for x = 0 and x = 5
f(x) = 2x - 3 , x < 0
f(x) = x² - 1 , x = 0
f(x) = x + 3 , x > 0
Evaluate the following piecewise function for x = 0 and x = 5
f(x) = 2x - 3 , x < 0
f(x) = x² - 1 , x = 0
f(x) = x + 3 , x > 0
The function g is the transformation of f(x) = IxI given by g(x) = -f(x + 15) – 7. Find the value of f(x) and g(x) for x = -15?
Observe the problem carefully and notice where we have to use just x and where we have to use a function of x.
The function g is the transformation of f(x) = IxI given by g(x) = -f(x + 15) – 7. Find the value of f(x) and g(x) for x = -15?
Observe the problem carefully and notice where we have to use just x and where we have to use a function of x.
What function g describes the graph of f after the given transformation?
f(x) = IxI; translated 2 units up and 1 unit right
Try to visualize the problem.
What function g describes the graph of f after the given transformation?
f(x) = IxI; translated 2 units up and 1 unit right
Try to visualize the problem.
Write a piecewise-defined function for the graph below
The most commonly used forms of the equation of straight line are y = mx + c and ax + by = c. Some other forms are point-slope form, slope-intercept form, general form, standard form, etc.
Write a piecewise-defined function for the graph below
The most commonly used forms of the equation of straight line are y = mx + c and ax + by = c. Some other forms are point-slope form, slope-intercept form, general form, standard form, etc.
Describe the transformation for the pair of step functions.
Read the problem multiple times in order to understand the problem.
Describe the transformation for the pair of step functions.
Read the problem multiple times in order to understand the problem.
