Two exponential functions are shown in the table. A 3-column table has 5 rows. The first column is labeled x with entries 2, 1, 0, negative 1, negative 2. The second column is labeled f (x) = 2 Superscript x Baseline with entries 4, 2, 1, one-half, one-fourth. The third column is labeled g (x) = (one-half) superscript x Baseline with entries one-fourth, one-half, 1, 2, 4. Which conclusion about f (x) and g (x) can be drawn from the table? The functions f (x) and g (x) are reflections over the x-axis. The functions f (x) and g (x) are reflections over the y-axis. The function f (x) is a decreasing function, and g (x) is an increasing function. The function f (x) has a greater initial value than g (x).

Question

Mathematics

Kristopher Roy

30 April, 17:58

Two exponential functions are shown in the table. A 3-column table has 5 rows. The first column is labeled x with entries 2, 1, 0, negative 1, negative 2. The second column is labeled f (x) = 2 Superscript x Baseline with entries 4, 2, 1, one-half, one-fourth. The third column is labeled g (x) = (one-half) superscript x Baseline with entries one-fourth, one-half, 1, 2, 4. Which conclusion about f (x) and g (x) can be drawn from the table? The functions f (x) and g (x) are reflections over the x-axis. The functions f (x) and g (x) are reflections over the y-axis. The function f (x) is a decreasing function, and g (x) is an increasing function. The function f (x) has a greater initial value than g (x).

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Answers (2)

Know the Answer?

Silky · Answer 1

B

Step-by-step explanation:Put my answer the brainliest

Mekhi Weaver · Answer 2

B. The functions f (x) and g (x) are reflections over the y-axis.

Step-by-step explanation:

From the information given the table appears as;

x f (x) = 2^x g (x) = 0.5^x

2 4 0.25

1 2 0.5

0 1 1

-1 0.5 2

-2 0.25 4

Plotting the two graphs to view the trends;

In the graph of f (x) = 2^x against x you notice a curve with increasing positive slope.

In the graph of g (x) = 0.5^x against x you notice a curve with a negative slope that is increasing.

In combining both graphs you notice that f (x) and g (x) are reflections over the y-axis.

Correct answer is; The functions f (x) and g (x) are reflections over the y-axis.