Question

given the exponential function \\(g(x) = \frac{1}{2}(2)^x\\), evaluate \\(f(1)\\), \\(f(3)\\), and \\(f(6)\\).

a) \\(f(1) = 4, f(3) = 16, f(6) = 128\\)
b) \\(f(1) = 1, f(3) = 4, f(6) = 32\\)
c) \\(f(1) = 1, f(3) = 2, f(6) = 8\\)
d) \\(f(1) = 2, f(3) = 9, f(6) = 64\\)

question 8 (5 points)
given that \\(f(x) = 3^x\\), identify the function \\(g(x)\\) shown in the figure.

a) \\(g(x) = -3^{-x}\\)
b) \\(g(x) = -3^x\\)
c) \\(g(x) = -(\frac{1}{3})^x\\)
d) \\(g(x) = 3^{-x}\\)

Explanation:

Evaluate the function values for Question 1

$$
LATEXBLOCK0
$$

Identify the reflected function g(x) for Question 8

$$
LATEXBLOCK1
$$

Answer:

Question 1

• A) f(1) = 4, f(3) = 16, f(6) = 128
• B) f(1) = 1, f(3) = 4, f(6) = 32
• C) f(1) = 1, f(3) = 2, f(6) = 8
• D) f(1) = 2, f(3) = 9, f(6) = 64 (Correct answer)

Question 8

• A) g(x) = -3^{-x}
• B) g(x) = -3^x
• C) g(x) = -(1/3)^x
• D) g(x) = 3^{-x} (Correct answer)