Piecewise Defined Functions — Quiz

Question 1

A rental car company charges a base fee of 40 dollars plus 0 point 2 5 dollars per mile for the first 100 miles the car is driven. The company charges the same base fee plus a reduced price of 0 point 1 8 dollars per mile for cars driven over 100 miles. The given piecewise function represents the different amounts the company charges. y equals enlarged left-brace first row 40 plus 0 point 2 5 m comma m less than or equal to 100. Second row 40 plus 0 point 1 8 m comma m greater than 100. If someone drives their rental car 150 miles, how much will they owe the rental company?

Revolt · Accepted Answer

67 point 0 0 dollars

Question 2

Which of the following accurately lists all discontinuities of the given function? f of x equals enlarged left-brace first row 4 comma x less than negative 4. Second row open paren x plus 2 closed paren squared comma negative 4 less than or equal to x less than or equal to negative 2. Third row negative one half x plus 1 comma negative 2 less than x less than 4. Fourth row negative 1 comma x greater than 4.

Revolt · Accepted Answer

point discontinuity at x is equal to 4 ; jump discontinuity at x is equal to negative 2

Question 3

Which graph represents the following piecewise defined function? g of x equals enlarged left-brace first row negative 2 x comma x less than negative 2. Second row negative x squared comma negative 2 less than or equal to x less than 1. Third row x comma x greater than or equal to 1.

Revolt · Accepted Answer

Image with description On a coordinate plane, the scale on the x axis range from negative 6 to 6 in increments of 1, and the scale on the y axis range from negative 7 to 5 in increments of 1. The graph is comprised of a parabola and 2 lines. The first line starts from the closed circle at (negative 2 comma negative 4) and goes to (negative 4 comma 2). The parabola is facing downwards with a vertex of (0 comma 0). The second line starts from the closed circle at (1 comma negative 1) and goes to (3 comma 2). The lines and parabola are joined together at (negative 2 comma negative 4) and (1 comma negative 1).

Question 4

Which graph represents the following piecewise defined function? g of x equals enlarged left-brace first row negative 2 x comma x less than negative 2. Second row negative x squared comma negative 2 less than or equal to x less than 1. Third row x comma x greater than or equal to 1.

Revolt · Accepted Answer

Image with description On a coordinate plane, the scale on the x axis range from negative 6 to 6 in increments of 1, and the scale on the y axis range from negative 4 to 8 in increments of 1. The graph is comprised of a parabola and 2 lines. The first line starts from the open circle at (negative 2 comma negative 4) and goes to (negative 4 comma 8). The parabola is facing downwards with a vertex of (0 comma 0). The second line starts from the closed circle at (1 comma 1) and goes to (4 comma 4).

Question 5

Which graph represents the following piecewise defined function? g of x equals enlarged left-brace first row one half x plus 3 comma x less than negative 2. Second row 2 comma negative 2 less than or equal to x less than or equal to 3. Third row 2 x minus 3 comma x greater than 3.

Revolt · Accepted Answer

Image with description On a coordinate plane, the scale on the x axis range from negative 9 to 7 in increments of 1, and the scale on the y axis range from negative 4 to 8 in increments of 1. The graph is comprised of 3 lines. The first line starts from the open circle at (negative 2 comma 3) and goes to (negative 6 comma 1). The second line starts from the closed circle at (negative 2 comma 2) and goes to the open circle (3 comma 2). The Third line starts from the closed circle at (3 comma 3) and goes to (5 comma 7).

Question 6

A rental car company charges a base fee of 40 dollars plus 0 point 2 5 dollars per mile for the first 100 miles the car is driven. The company charges the same base fee plus a reduced price of 0 point 1 8 dollars per mile for cars driven over 100 miles. The given piecewise function represents the different amounts the company charges. y equals enlarged left-brace first row 40 plus 0 point 2 5 m comma m less than or equal to 100. Second row 40 plus 0 point 1 8 m comma m greater than 100. If someone drives their rental car 150 miles, how much will they owe the rental company?

Revolt · Accepted Answer

67 point 0 0 dollars

Question 7

A cell phone company charges by the minute (and partial minute) for making phone calls. Arionna’s plan includes 300 minutes in the 20 dollars monthly base cost. If she uses more than 300 minutes in a month, there is a 5 dollars overage fee and an additional charge of 0 point 2 5 dollars per minute. Which graph represents the monthly cost, y , in dollars for making x minutes of calls?

Revolt · Accepted Answer

Image with description On a coordinate plane, the x axis is labeled as minutes and the y axis is labeled as cost. The x axis ranges from negative 50 to 500 in increments of 50. The y axis ranges from negative 50 to 50 in increments of 10. The graph is comprised of 2 lines. The first line starts from the closed circle (0 comma 20) and goes to (300 comma 20). The second line starts from the open circle (300 comma 25) and goes to (400 comma 50).

Question 8

Which graph represents the following piecewise defined function? g of x equals enlarged left-brace first row one half x plus 3 comma x less than negative 2. Second row 2 comma negative 2 less than or equal to x less than or equal to 3. Third row 2 x minus 3 comma x greater than 3.

Revolt · Accepted Answer

Image with description On a coordinate plane, the scale on the x axis range from negative 9 to 7 in increments of 1, and the scale on the y axis range from negative 4 to 8 in increments of 1. The graph is comprised of 3 lines. The first line starts from the closed circle at (negative 2 comma 2) and goes to (negative 8 comma 1). The second line starts from the closed circle at (negative 2 comma 2) and goes to the closed circle (3 comma 2). The Third line starts from the open circle at (3 comma 3) and goes to (5 comma 7).

Question 9

Which graph represents the following piecewise defined function? g of x equals enlarged left-brace first row x squared comma x less than 0. Second row one half x comma 0 less than x less than or equal to 4. Third row x comma x greater than 4.

Revolt · Accepted Answer

Image with description On a coordinate plane, the scale on the x axis range from negative 8 to 8 in increments of 1, and the scale on the y axis range from negative 3 to 9 in increments of 1. The graph is comprised of a curve and 2 lines. The curve starts at (0 comma 0) and curves up through (negative 3 comma 9). The first line starts from the closed circle at (0 comma 0) and goes to (4 comma 2). The second line starts from the closed circle at (4 comma 2) and goes to (7 comma 7).

Question 10

A cell phone company charges by the minute (and partial minute) for making phone calls. Arionna’s plan includes 300 minutes in the 20 dollars monthly base cost. If she uses more than 300 minutes in a month, there is a 5 dollars overage fee and an additional charge of 0 point 2 5 dollars per minute. Which graph represents the monthly cost, y , in dollars for making x minutes of calls?

Revolt · Accepted Answer

Image with description On a coordinate plane, the x axis is labeled as minutes and the y axis is labeled as cost. The x axis ranges from negative 50 to 500 in increments of 50. The y axis ranges from negative 50 to 50 in increments of 10. The graph is comprised of 2 lines. The first line starts from the closed circle (0 comma 20) and goes to (300 comma 20). The second line starts from the open circle (300 comma 25) and goes to (400 comma 50).

Piecewise Defined Functions — Quiz Answers

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