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rodikova [14]
3 years ago
14

Can you help me on 8 and 9 plss

Mathematics
1 answer:
Mandarinka [93]3 years ago
6 0
You were right on both
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Name 3 of the 4 features listed below for the function g (x) = log2 (x + 4) - 1 and include a description of how you found those
givi [52]

(1) Vertical asymptote: x=-4

(2) Domain: x>-4

(3) X intercept: (-2,0) and Y intercept : (0,1)

(4) The function g(x) is shifted 4 units to the left and shifted 1 unit down.

Explanation:

The parent function is f(x)=\log _{2} x

The transformed function is g(x)=\log _{2}(x+4)-1

(1) Vertical asymptote:

The vertical asymptote of a function can be determined by equating

x+4=0

Thus, x=-4

The vertical asymptote is x=-4

(2) Domain:

The domain of a function is the set of all independent x-values.

x+4>0

Thus, x>-4

The domain of a function is x>-4

(3) X and Y intercepts:

To determine the x intercept, let us substitute y=0 in g(x)=\log _{2}(x+4)-1

\begin{equation}\begin{aligned}\log _{2}(x+4)-1 &=0 \\\log _{2}(x+4) &=1 \\x+4 &=2^{1} \\x &=-2\end{aligned}

Thus, the x intercept is (-2,0)

To determine the y intercept, let us substitute x=0 in g(x)=\log _{2}(x+4)-1

\begin{equation}\begin{aligned}y &=\log _{2}(0+4)-1 \\&=\log _{2} 4-1 \\&=2-1 \\&=1\end{aligned}

Thus, the y intercept is (0,1)

(4) To determine the transformation:

The transformed function g(x)=\log _{2}(x+4)-1 is shifted 4 units to the left and shifted 1 unit downwards.

4 0
3 years ago
If f(n)=5^n then what is f(4)
gregori [183]
All you have to do is plug in 4 where n is

In other words n = 4

So...

F(n) = 5^n
F(4) = 5^4 or (5 x 5 x 5 x 5)
F(4) = 625
5 0
3 years ago
F(x) = 20 - x What is the y intercept
erma4kov [3.2K]

Answer: The y intercepts are: ( 0, 20 )

Step-by-step explanation:

7 0
3 years ago
Can you please provide me step by step instructions on how to work this problem?
IgorC [24]
Whats the problem if u forgot type it over and type the problem
8 0
3 years ago
The grocery store where Ms. Maple works pays her $6.50 per hour. Any time she works more than 40 hours per week, she is paid tim
Charra [1.4K]

Answer:

$289.25

Step-by-step explanation:

First we should find out how much Ms. Maple would make in a week without overtime.

6.5 x 40 = 260

Now, let's figure out how much she makes per hour in overtime.

6.5 x 1.5 = 9.75

Now add up the hours of overtime.

9.75 x 3 = 29.25

Now we add the weekly wage to the overtime

260 + 29.25 = 289.25

For 40 hours of regular time at $6.50/hr and 3 hours of overtime at $9.75/hr, Ms. Maple will make $289.25 for the week.

7 0
3 years ago
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