Question

PLEASE PLEASE HELP ME?!?!!? PLEASSEE I ONLY HAVE 2 QUESTIONS!!!

When the function f(x) = 6(9)x is changed to f(x) = 6(9)x + 1, what is the effect?
Select one:
a. There is no change to the graph because the exponential portion of the function remains the same.

b. All input values are moved 1 space to the right.

c. The x-intercept is 1 space higher.

d. The y-intercept is 1 space higher.

Evaluate fourth root of 9 multiplied by square root of 9 over the fourth root of 9 to the power of 5 . (5 points)
Select one:
a. 9 to the power of negative 1 over 2
b. 9 to the power of negative 1 over 4
c. 9
d. 92

Answer 1

1. d. The y-intercept is 1 space higher.
2. a. 9 to the power of -1/2

Explanation:

1. Changing f(x) to f(x) + 1 adds 1 to every output value of the function, moving that value "1 space higher". This is true for the y-intercept, too.

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2. The rules of exponents apply:

• a^b · a^c = a^(b+c)
• 1/a^b = a^-b

You apparently want to simplify ...

... 9^(1/4) × 9^(1/2) / 9^(5/4)

... = 9^(1/4 + 1/2 - 5/4)

... = 9^((1+2-5)/4)

... = 9^(-2/4) = 9^(-1/2)