Maths-
General
Easy
Question
The function f is defined for all real numbers, and the graph of y = f (x) in the xy-plane is a line with a negative slope. Which of the following must be true?
I. If a < b, then f(a) > f (b).
II. If a < 0, then f (a) > 0.
III. If a > 0, then f (a) < 0.
- I only
- II only
- I & III only
- II & III only
The correct answer is: I only
Step-by-step solution:-
Final Answer:-
Option A i.e. I only is the correct Option.
Related Questions to study
Maths-
In the quadratic equation shown, b is constant. For what values of b does the equation have only 1 solution?
In the quadratic equation shown, b is constant. For what values of b does the equation have only 1 solution?
Maths-General
Maths-
Minato drove 390 miles. Part of the drive was along local roads, where his average speed was 20 miles per hour and the rest was along a highway, where his average speed was 60 miles per hour. The drive took 8 hours. What distance, in miles, did Minato drive along local roads?
Minato drove 390 miles. Part of the drive was along local roads, where his average speed was 20 miles per hour and the rest was along a highway, where his average speed was 60 miles per hour. The drive took 8 hours. What distance, in miles, did Minato drive along local roads?
Maths-General
Maths-
The two-way table categorizes the change in value in July and August for 50 stocks. If one of the stocks that increased in value in August is chosen at random, what is the probability that the stock also increased in value in July?
The two-way table categorizes the change in value in July and August for 50 stocks. If one of the stocks that increased in value in August is chosen at random, what is the probability that the stock also increased in value in July?
Maths-General
Maths-
In the given figure, θ is an angle. If 
, what is cos θ?
In the given figure, θ is an angle. If , what is cos θ?
Maths-General
Maths-
The function W gives the estimated weight W (L), in pounds, of a rainbow trout based on its Length L, in inches. Which of the following is the best interpretation of the number 1.22 in this context?
W (L) = 0.04 (1.22)L
The function W gives the estimated weight W (L), in pounds, of a rainbow trout based on its Length L, in inches. Which of the following is the best interpretation of the number 1.22 in this context?
W (L) = 0.04 (1.22)LMaths-General
Maths-General
Maths-
An equation of the graph shown is ax + by = 6, where a & b are constants. What is the value of b?
An equation of the graph shown is ax + by = 6, where a & b are constants. What is the value of b?
Maths-General
Maths-
A set of data is represented by the scatter point in the portion of the xy-plane shown. Which of the following linear equations best fits the data?
A set of data is represented by the scatter point in the portion of the xy-plane shown. Which of the following linear equations best fits the data?
Maths-General
Maths-
The function h is defined as shown. For what value of x does the function h reach its minimum value?
h(x) = (x - 5) (x + 5)
The function h is defined as shown. For what value of x does the function h reach its minimum value?
h(x) = (x - 5) (x + 5)
Maths-General
Maths-
A sports store had 60 backpacks in store, some with wheels and some without wheels, before a new shipment of backpacks arrived The number of wheeled backpacks in the new shipment was twice the number of wheeled backpacks already in stock, and the number of backpacks without wheels in the new shipment was 5 times the number of backpacks without wheels already in stock. After the new shipment arrived, there were 330 backpacks in the store. Before the shipment there were x wheeled backpacks and y backpacks without wheels. Which of the following equations can be used with x + y = 60 to solve for x & y?
A sports store had 60 backpacks in store, some with wheels and some without wheels, before a new shipment of backpacks arrived The number of wheeled backpacks in the new shipment was twice the number of wheeled backpacks already in stock, and the number of backpacks without wheels in the new shipment was 5 times the number of backpacks without wheels already in stock. After the new shipment arrived, there were 330 backpacks in the store. Before the shipment there were x wheeled backpacks and y backpacks without wheels. Which of the following equations can be used with x + y = 60 to solve for x & y?
Maths-General
Maths-
The given graph shows the distribution of number of years of experience for 25 teachers enrolled in an advanced degree program at a particular university. If a 26th teacher with 2 years of experience is added to the program and to the data set, what will be the effect on the mean and median of the data set?
The given graph shows the distribution of number of years of experience for 25 teachers enrolled in an advanced degree program at a particular university. If a 26th teacher with 2 years of experience is added to the program and to the data set, what will be the effect on the mean and median of the data set?
Maths-General
Maths-
In the given figure, AB = AD, BC = CD, BE = 2, BC = 4 and AC = 10.
What is the area of triangle ABD?
In the given figure, AB = AD, BC = CD, BE = 2, BC = 4 and AC = 10.
What is the area of triangle ABD?
Maths-General
Maths-
The coordinates of points A, B & C are shown in the xy- plane above. For which of the following inequalities will each of the points A, B & C be contained in the solution region?
The coordinates of points A, B & C are shown in the xy- plane above. For which of the following inequalities will each of the points A, B & C be contained in the solution region?
Maths-General
Maths-
In the x-y plane, what is the y- coordinate of the y-intercept of the graph of the equation-
In the x-y plane, what is the y- coordinate of the y-intercept of the graph of the equation-
Maths-General
Maths-
Natasha spent a total of n minutes doing her job of processing ID card applications and driver's license applications. It takes her 15 minutes to process ID card applications and 20 minutes to process driver's license applications. The given graph represents all possible combinations of the number of ID card applications and driver's license applications that could have been proceed by her in the n minutes.
What is the value of n?
Natasha spent a total of n minutes doing her job of processing ID card applications and driver's license applications. It takes her 15 minutes to process ID card applications and 20 minutes to process driver's license applications. The given graph represents all possible combinations of the number of ID card applications and driver's license applications that could have been proceed by her in the n minutes.
What is the value of n?
Maths-General
Maths-
Distribution of the number of extracurricular activities that students at a middle school participate in is given. If the number of students who participate in two extracurricular activities is 120 more than the number of students who participate in one extracurricular activity, what is the total number of students who attend the middle school?
Distribution of the number of extracurricular activities that students at a middle school participate in is given. If the number of students who participate in two extracurricular activities is 120 more than the number of students who participate in one extracurricular activity, what is the total number of students who attend the middle school?
Maths-General
