The functions f(x) and g(x) are shown below:

Mathematics

2 answers:

Hitman42 [59]3 years ago

7 0

Answer:

Option A. is the correct option.

Step-by-step explanation:

The two functions are $f(x)=2^{x}$ and g(x) = 2x

If we analyze these functions over the graph we find that function g(x) is an line which intersect $y=2^{x}$ over the two points that means f(x) is exceeding g(x).

In other words if we draw the graph for both the functions with the different values of x, f(x) will have the higher values as compared to g(x).

For x = 0 1 2 3 4

f(x) = 1 2 4 8 16

g(x) = 0 2 4 6 8

Option A is the correct option.

mote1985 [20]3 years ago

3 0

Answer is
<span>A) The graph of f(x) will eventually exceed the graph of g(x).</span>

You might be interested in

Using appropriate properties find: 2/3 × 3/4 + 3/7 × 3/4

Viktor [21]

Answer:

$\frac{23}{28}$

Step-by-step explanation:

$\frac{2}{3} \times \frac{3}{4} + \frac{3}{7} \times \frac{3}{4}$

$= > \frac{3}{4} ( \frac{2}{3} + \frac{3}{7} )$

$= > \frac{3}{4} \times \frac{23}{21}$

Reducing 3 from numerator and denominator,

$= > \frac{23}{4 \times 7} = \frac{23}{28}$

3 0

3 years ago

Which of the following functions gives the length of the base edge, a(v), of a right square pyramid that is 8 inches tall as a f

Reil [10]

Answer:

$\large\boxed{a(V)=\sqrt{\dfrac{3V}{8}}}$

Step-by-step explanation:

The formula of a volume of a square pyramid:

$V=\dfrac{1}{3}a^2h$

a - base edge

h - height of a pyramid

We have H = 8in.

Substitute and solve for a:

$\dfrac{1}{3}a^2(8)=V\\\\\dfrac{8}{3}a^2=V\qquad\text{multiply both sides by}\ \dfrac{3}{8}\\\\\dfrac{3\!\!\!\!\diagup^1}{8\!\!\!\!\diagup_1}\cdot\dfrac{8\!\!\!\!\diagup^1}{3\!\!\!\!\diagup_1}a^2=\dfrac{3}{8}V\\\\a^2=\dfrac{3V}{8}\Rightarrow a=\sqrt{\dfrac{3V}{8}}$