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Elodia [21]
1 year ago
10

What is the range for f(x) = 2^x

Mathematics
1 answer:
Natali [406]1 year ago
6 0

Given the function:

f(x)=2^x

The function can also be written as:

y=2^x

The range of the function will be all set of y values.

To find the range, let's graph the function below.

We have:

From the graph above, all possibe y values range from 0 to infinity.

Therefore, the range of the function is from zero infinity.

In interval notation:

Range = (0, +∞)

ANSWER:

4. (0, +∞)

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8 0
3 years ago
CORRECT ANSWER=BRAINLIEST POINTS
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What is the measure of the missing side of the right triangle?
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2x - y = 8<br> y= x-3<br> Use substitution method
uranmaximum [27]

Answer:

 Slope = 0.222/2.000 = 0.111

 x-intercept = -3/1 = -3.00000

 y-intercept = 3/9 = 1/3 = 0.33333

Step-by-step explanation:

Step  1  :

Equation of a Straight Line

1.1     Solve   x-9y+3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-9y+3  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/3 so this line "cuts" the y axis at y= 0.33333

 y-intercept = 3/9 = 1/3  =  0.33333

Calculate the X-Intercept :

When y = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

 x-intercept = -3/1  = -3.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 0.333 and for x=2.000, the value of y is 0.556. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.556 - 0.333 = 0.222 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.222/2.000 =  0.111

Geometric figure: Straight Line

 Slope = 0.222/2.000 = 0.111

 x-intercept = -3/1 = -3.00000

 y-intercept = 3/9 = 1/3 = 0.33333

Processing ends successfully

plz mark me as brainliest if this helped :)

3 0
3 years ago
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