The graph below shows three functions:
Graph of function f of x equals 0.5 to the power x. Graph of function g of x is a line segment with holes at endpoints connecting negative 1.8, negative 3 and 1, 3.8. Graph of p of x is a line segment connecting negative 1.7, 2.3 and 1, negative 4.2.
Which function has all real numbers as its domain?
Only f(x)
Both g(x) and p(x)
Both f(x) and g(x)
Only p(x)

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##### 1 Attachment

- CBARREDO1

You know what are real numbers, right?

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## More answers

- anonymous

yes @CBARREDO1

- anonymous

- CBARREDO1

Ok, I'm going to give you the formulas
\[f(x)=0.5^x\]
\[g(x)= (-1.8,-3) (1,3.8)\]
\[p(x)=(1.7,2.3) (1,-4.2)\]

- CBARREDO1

Of this formulas which one contains only real numbers?

- anonymous

1

- CBARREDO1

There xD

- anonymous

@CBARREDO1 it is A?

- CBARREDO1

I think so :)

- anonymous

1 more please

- anonymous

Which of the following shows the correct steps to find the value of 16 to the power of 1 over 4?

- anonymous

- CBARREDO1

What are the options?

- anonymous

16 to the power of 1 over 4 equals 2 to the power of 4 to the power of 1 over 4 equals 2 to the power of 4 multiplied by 1 over 4 equals 2
16 to the power of 1 over 4 equals 4 to the power of 4 to the power of 1 over 4 equals 4 to the power of 4 multiplied by 1 over 4 equals 4
16 to the power of 1 over 4 equals 2 to the power of 8 to the power of 1 over 4 equals 8 to the power of 8 multiplied by 1 over 4 equals 4
16 to the power of 1 over 4 equals 8 to the power of 2 to the power of 1 over 4 equals 2 to the power of 2 multiplied by 1 over 4 equals 8

- anonymous

- CBARREDO1

Which of the following shows the correct steps to find the value of 16 to the power of 1 over 4?
\[(16)^1/4=(2^3)^1/4=2^3*1/4=2^1=2\]

- CBARREDO1

power of 2 sorry

- CBARREDO1

D is the answer

- anonymous

The amount of a radioactive material changes with time. The table below shows the amount of radioactive material f(t) left after time t:
t(hours) 0 1 2
f(t) 180 90 45
Which exponential function best represents the relationship between f(t) and t?
f(t) = 0.5(180)t
f(t) = 180(0.25)t
f(t) = 180(0.5)t
f(t) = 0.5(50)t

- anonymous

- CBARREDO1

Who would think I would end up doing algebra in the summer? I don't get paid enough for this xD

- anonymous

XD

- CBARREDO1

f(t) = 180(0.5)t

- anonymous

Which of the following is an equivalent function to the function below?
f(x) = 30(1.03)3x @CBARREDO1

- anonymous

- anonymous

- anonymous

HELPPPPPPPP

- anonymous

The table below shows the functions to represent the sale f(t), in thousands, of four companies in t years:
Company A B C D
Sale f(t) = 1.05t f(t) = 0.75t f(t) = 1.212t f(t) = 0.9712t
Which of the following companies showed an exponential growth in sale?

- anonymous

forget the other one please do the one above this comment

- anonymous

- CBARREDO1

So in order for it to grow, base need to be greater than 1. Make sense? if you repeatedly multiply number, bigger than 1, by itself, it will grow bigger and bigger

- CBARREDO1

Either B or D

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