3 years ago

Use graphing technology to find the range of the function f(x)=2^x .

Mathematics

2 answers:

OLEGan [10]3 years ago

6 0

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Zinaida [17]3 years ago

5 0

Look at the graph, which y values can the graph hit?

Anything above zero would be the right answer, since there is an asymptote at $y=0$ .

So the range would be $y>0$

Hope this helps.

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(-1, 4) and (1,-1)<br> And (0,-8) and 3,2)

Free_Kalibri [48]

Answer:

These are all points on a graph. I'm not sure what you're asking.

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4 years ago

Find the focus of the parabola whose equation is y=1/8 x^2

Mama L [17]

Answer:

The focus is: $(0,2)$

Step-by-step explanation:

Given

$y = \frac{1}{8}x^2$

Required

Determine the focus

The focus of a parabola

$(x- h)^2 = 4p(y - k)$

is:

$(h,k+p)$

So, we have:

$y = \frac{1}{8}x^2$

Cross multiply

$8y = x^2$

Rewrite as:

$x^2 = 8y$

Rewrite as:

$(x - 0)^2 = 8(y - 0)$

Express 8 as 4 * 2

$(x - 0)^2 = 4 * 2(y - 0)$

By comparison with: $(x- h)^2 = 4p(y - k)$

$h = 0$ $p =2$ $k = 0$

So, the focus $(h,k+p)$ is:

$(h,k+p) = (0,0+2)$

$(h,k+p) = (0,2)$

7 0

3 years ago

For a trapezoid with a height of 7 centimeters and base lengths of 6 centimeters and 10 centimeters, the area is

soldier1979 [14.2K]

$\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height\\[-0.5em] \hrulefill\\ a=6\\ b=10\\ h=7 \end{cases}\implies A=\cfrac{7(6+10)}{2} \\\\\\ A=\cfrac{7(16)}{2}\implies A=7(8)\implies A=56$