Find the slope of the line: An image of a graph

Question 1 options:

25

4

5

20

Question 2 (5 points)
A veterinarian uses a specific formula to calculate the dosage of an antibiotic given to dogs with bacterial infections. For each 10 pounds of a dog's weight, she treats the dog with 50 mg of antibiotic per dose. Which of the following graphs describes the relationship between a dog's weight and the antibiotic dosage used to treat it?

Question 2 options:

An image of a graph

An image of a graph

An image of a graph

An image of a graph

Question 3 (5 points)
Write the equation of the line graphed below in slope-intercept form.

An image of a graph.

Question 3 options:

y = 2x + 3

y = 3x +12

y = 12x + 3

y=12x
Question 4 (5 points)
Saved
A group of friends rents a boat to spend an afternoon on a lake. The boat rental has a flat fee of $180 for up to three hours and $50 per hour for each additional hour. The first four passengers are included in this cost, but $20 is charged for each additional passenger. Write a linear equation to describe this situation, where c is the total cost of the rental, h is each additional hour (over 3) and p is each additional passenger (over 4).

Question 4 options:

c = 180 + 50h + 20p

c + 180 = 50h + 20p

c = 180 + h + p

c = 230h + 20p

Question 5 (5 points)
Saved
Which of the following linear functions has a graph which passes through points (−5,−2) and (−3,0)?

Question 5 options:

f(x) = –x + 3

f(x) = x + 3

f(x) = –x – 3

f(x) = x – 3

Question 6 (5 points)
Saved
Given the function f(x) = –5x + 2, find the range of f(x) for x = –1, 0, 1.

Question 6 options:

–7, –2, 3

7, 2, 3

7, 2, –3

–7, –2, –3

Question 7 (5 points)
Select the linear function that describes the relationship between the domain and range in the table below.

x f(x)
−1 5
0 3
1 1
Question 7 options:

f(x) = 2x+ 3

f(x) = 8x + 3

f(x) = –2x + 3

f(x) = –8x + 3

Question 8 (5 points)
Saved
Consider the function f(x) = 9x + 4 and the function g(x), the graph of which intersects the points (0,4) and (8,76). Select the correct statement below:

Question 8 options:

f(x) and g(x) have the same slope

f(x) has a steeper slope than g(x)

g(x) has a steeper slope than f(x)

There isn't enough information to determine which function has a steeper slope.

Question 9 (5 points)
Saved
Which of the following is the graph of f(x) = |x|?

Question 9 options:

An image of a graph.

An image of a graph.

An image of a graph.

An image of a graph.
Question 10 (5 points)
Which of the following graphs represents the function g(x) = 3x−−√3 – 1?

Question 10 options:

An image of a graph.

An image of a graph.

An image of a graph.

An image of a graph.

Question 11 (5 points)
An airline charges $20 to check a piece of luggage up to 23 kilograms. For excess weight, it charges $5 more per kilogram. The airline rounds up to the next whole kilogram (a piece of luggage weighing 24.1 kg would be charged as 25 kg). The airline doesn't accept luggage over 32 kg. Which of the graphs below represents this information as a function?

Question 11 options:

An image of a graph.

An image of a graph.

An image of a graph.

An image of a graph.

Question 12 (5 points)
Consider the graph below, and identify the piecewise function that describes it.

An image of a graph.

Question 12 options:

f(x)=⎧⎩⎨⎪⎪−x−3−22xx≤33 2⎫⎭⎬⎪⎪

f(x)=⎧⎩⎨⎪⎪−x−22xx<33≤x≤6x>2⎫⎭ ⎬⎪⎪
Question 13 (5 points)
Write the equation of the function graphed below:

An image of a graph.

Question 13 options:

f(x) =x−−√3 + 4

f(x) = 2x−−√3 + 4

f(x) =x−−√3 – 4

f(x) = 2x−−√3 –4

Question 14 (5 points)
Compare the graph below to the function f(x) = x−−√, and select the correct statement below.

An image of a graph.

Question 14 options:

From f(x) = x−−√, the function is stretched vertically by a factor of12 and is translated 3 units in the negative y-direction.

From f(x) = x−−√, the function is stretched vertically by a factor of 2, and is translated 3 units in the negative x-direction.

From f(x) = x−−√, the function is stretched vertically by a factor of12 and is translated 3 units in the negative x-direction.

From f(x) = x−−√, the function is stretched vertically by a factor of 2 and is translated 3 units in the negative y-direction.

Question 15 (5 points)
Select the graph which correctly displays the function f(x) = |x + 2|– 3.

Question 15 options:

An image of a graph.

An image of a graph.

An image of a graph.

An image of a graph.

Question 16 (5 points)
Select the graph which correctly displays the function f(x) = –2x+5−−−−√.

Question 16 options:

An image of a graph.

An image of a graph.

An image of a graph.