Exponents, Functions, and Graphs

The video tutorial covers a range of mathematical concepts, starting with inverse functions and the horizontal line test to determine if an inverse is a function. It then moves on to using exponent rules for simplification, solving complex fractions with exponents, and working with radicals and conjugates. The tutorial also addresses rationalizing denominators and simplifying roots, including advanced techniques for complex roots and the use of absolute values.

What is the purpose of the horizontal line test?

• To find the slope of a line

• To calculate the area under a curve

• To determine if the inverse of a function is a function

• To determine if a graph is a function

Which graph is represented by an upside-down parabola?

• Square root graph

• X squared graph

• Absolute value graph

• Linear graph

What happens if a horizontal line touches a graph more than once?

• The inverse is not a function

• The inverse is a function

• The graph is a function

• The graph is not a function

What is the common denominator needed to add 4/3 and 5/6?

• 12

• 9

• 6

• 3

How do you simplify an expression with a negative exponent?

• Move the base to the opposite side of the fraction

• Subtract the exponents

• Multiply the exponents

• Add the exponents

What is the result of multiplying 7 to the negative 3rd power?

• 1/49

• 49

• 1/343

• 343

How do you rationalize the denominator of a radical expression?

• Divide by the conjugate

• Multiply by the conjugate

• Add the same radical

• Subtract the same radical

What is the cube root of 64?

• 2

• 4

• 16

• 8

When is it necessary to use absolute values in simplification?

• When the index is odd

• When the index is even and the result is odd

• When the index is even and the result is even

• When the index is odd and the result is even