MATH 114 EXAM 1 with complete solutions 2024_2025

MATH 114 EXAM 1 with complete
solutions 2024/2025




Identify the number of terms in the algebraic expression

2xy - ANSWER-1 Term

Identify the number of terms in the algebraic expression

5x^2 + 3y - ANSWER-2 Terms

Identify the number of terms in the algebraic expression

7y + 2z - ANSWER-2 Terms

For each polynomial, state the constant term, the degree of the polynomial, and
the leading coefficient.

-4x^9 + 2x^5 - 1 - ANSWER-Degree- (9)
Leading Coefficient- (-4)
Constant Term- (-1)

For each polynomial, state the constant term, the degree of the polynomial, and
the leading coefficient.

8x^2 - 7x + 3x^5 + 6 - ANSWER-Degree- (5)
Leading Coefficient- (3)
Constant Term- (6)

Perform the operations and simplify

, 5x(x+3) - 4(x^2 - 7x) - ANSWER-x^2 + 43x

Perform the operations and simplify

(3x - 2y)(5x + y) - ANSWER-15x^2 + 3xy - 10xy - 2y^2

Perform the operations and simplify

(2a - b)^2 - ANSWER-4a^2 - 4ab + b^2

Identify the Domain and Range and determine if the correspondence is a function.

{(2,4)(5,-1)(3,1)} - ANSWER-Domain- (2,5,3)
Range- (4,-1,1)
Function?- Yes

Identify the Domain and Range and determine if the correspondence is a function.

{(3,-1)(5,2)(6,-1)} - ANSWER-Domain- (3,5,6)
Range- (2,-1)
Function?- Yes

Identify the Domain and Range and determine if the correspondence is a function.

{(2,-4)(2,5)(3,2)} - ANSWER-Domain- (2,3)
Range- (-4,5,2)
Function?- No

What is the vertical line test of a graph and what does it tell us? - ANSWER-It a a
test to see if a graph represents a function. To pass the vertical line test the line
must only pass through the graph only once. If it passes through the graph twice
or more, the graph does not represent a function.

Find the Domain and write your answer in interval notation.

Y= 5/x^2 - ANSWER-(-Infinite, 0)U(0, Infinite)

Find the Domain and write your answer in interval notation.

Y= 3/x + 2 - ANSWER-(-Infinite, -2)U(-2, Infinite)