Curve Fitting and Fractional Exponents Quiz

In the equation y = a * b^x, which letters represent the parameters?

• x and y

• a and b

• a and x

• b and y

What happens to the graph of y = a * b^x if the parameter 'a' is changed?

• The graph's slope changes

• The graph shifts horizontally

• The graph's y-intercept changes

• The graph becomes a straight line

Given the point (0, 7) on a graph, what is the value of 'a' in the equation y = a * b^x?

• 56

• 7

• 3

• 0

If b^3 = 8, what is the value of b?

• 3

• 2

• 1

• 4

What is the cube root of 11 approximately equal to?

• 3.2239

• 2.2239

• 4.2239

• 5.2239

How can the cube root of a number be expressed using fractional exponents?

• As the number to the power of 1/3

• As the number to the power of 1/2

• As the number to the power of 3/2

• As the number to the power of 2/3

Convert the expression 19^(3/4) into radical form.

• The square root of 19 cubed

• The fourth root of 19 squared

• The fourth root of 19 cubed

• The cube root of 19 to the fourth

What is the fractional exponent form of the square root of x?

• x^(2/3)

• x^(1/3)

• x^(3/2)

• x^(1/2)

If the base is 5 and the exponent is 7, what is the radical form of 5^(7/2)?

• The square root of 5 to the seventh

• The fifth root of 5 squared

• The seventh root of 5 squared

• The cube root of 5 to the seventh

What is the result of simplifying y cubed under a cube root?

• y^3

• y^4

• y^2

• y