Directions How to Answer

Aptitude Test Topic: Functions

Functions include Linear functions and Graphical functions.

Directions

Solve the given question and choose the best answer from the given choices.

To give the answer click/tap the option alphabet for your answer choice. for correct answer green check and for wrong answer a red cross will appear along with a button to show explanation with or without video of the question answer.

Functions: Graphing Functions Practice MCQ

Question Statement:

Which of the following inequalities is graphed above?

y > 8 x + 1

y < - \frac{1}{8} x + 1

y > \frac{1}{8} x + 1

y < - 8 x + 1

y > - \frac{1}{8} x + 1

Explanation:

Correct Answer: E

First, we determine the equation of the boundary line. This line includes points (0,1) and (8.0) , so the slope can be calculated as follows:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{1 - 0}{0 - 8} = - \frac{1}{8}$

Since we also know the y-intercept is (0,1), we can substitute $m = - \frac{1}{8}, b = 1$ in the slope-intercept form to obtain equation of the boundary:

$y = m x + b$

$y = - \frac{1}{8} x + 1$

The boundary is excluded, as is indicated by the line being dashed, so the equality symbol is replaced by either < or >. To find out which one, we can test a point in the solution set - we will choose (8,1):

y _____ $- \frac{1}{8} x + 1$

1 _____ $- \frac{1}{8} \cdot 8 + 1$

1 ____ $- 1 + 1$

1 ___ 0

1 is greater than 0 so the correct symbol is $>$

The inequality is $y > - \frac{1}{8} x + 1$

Question: 2 Test: 1 of 2 Next Test

Tests

You are taking Aptitude Test No. 1

Each aptitude test is comprised of 10 except the last test which might have fewer than 10 in some topics.

You are at question (MCQ) number 2 and Test Number 1 of Functions: Graphing Functions. To deal with Functions questions, you must take lesson on the subject. In case of science and Art subjects revise your text books and in case of general aptitude topics take lessons from the topic page.

The question:

y > 8 x + 1 ,

y < - \frac{1}{8} x + 1

y > \frac{1}{8} x + 1

y < - 8 x + 1

can be solved with the concepts and understanding of Functions.