Fundamental Concepts in Algebra

The video tutorial covers algebra homework questions, focusing on evaluating functions, expressions, and graphing. It explains how to evaluate functions by substituting values, solve expressions involving roots and powers, and graph functions while describing their properties. Additionally, it discusses lines through points and the concept of absolute value.

What is the value of f(4) if f(x) = x^2?

• 12

• 16

• 20

• 8

If f(x) = x^2, what is f(-3)?

• -3

• 3

• 9

• -9

What is the result of f(T) if f(x) = x^2?

• T^2

• 2T

• T

• T+2

What is the cube root of 27?

• 5

• 3

• 2

• 4

What number squared gives 144?

• 13

• 12

• 11

• 10

What is the square root of 9?

• 4

• 1

• 2

• 3

What is the fourth root of 2^4?

• 4

• 2

• 1

• 3

Which of the following describes a graph that is increasing?

• As x increases, y increases

• As x decreases, y increases

• As x decreases, y decreases

• As x increases, y decreases

What is the y-intercept of a graph?

• The highest point on the graph

• The lowest point on the graph

• The point where the graph crosses the x-axis

• The point where the graph crosses the y-axis

Does the line passing through (-3, -2) and (2, 1) also pass through (5, 3)?

• Cannot be determined

• Only if extended

• No

• Yes