Graph - Refer to the graph given below and identify the graph that represents the corresponding function. Justify your answer.
y = 3x
y = log3x
Plot the graphs of the following functions.
1. f(x)=7
2. f(x)=4 x - 3
3. f(x)=(1/5x
4. f(x)= 3 log x
5. f(x) = log x +2
See Attachment for Graph
Applications of Linear Equations : Word Problem - A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reason, six girls couldn't turn up, so the professor had to make some changes in the group. He admitted six boys. In doing so, the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in the project initia...
Algebra Word Problems - A designer attempts to arrange the characters of his artwork in the form of a square grid with equal numbers of rows and columns, but finds that 24 characters are left out. When he tries to add one more row and column, he finds that he has 25 too few characters. Find the number of characters used by the designer.
Graph Linear Equations - 1. Plot the graph of the equations 2x - 3y = 6 and 2x + y = -10 and interpret the result.
2. Plot the graph of the equations 2x + 4y = 10 and 3x + 6y = 12 and interpret the result.
3. Determine graphically the vertices of the triangle, the equation of whose sides are given as y = x; y = 0; 2x + 3y = 10. Interpret the result
Linear Equations and their Solutions - From the given polynomials, identify the polynomials of degree one.
a. 311y - 5 - 43y
b. (11y2)1/4 + 14
c. 10 + 19x - 2x2
d. 2 + 15x
e. 52y4 + 7x + 2
f. (68)1y1
g. x3 + 3x - 9
Solve the following:
i. -2x = 3x + 4
ii. 3x/4 = 6
iii. y/6 + 1 = 9
iv. 6 = -2x/4
v. Find f(1) for f(x) = 4x3 - 3x2 - x + 2
vi. A function gives the value ...