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Falling_In_Katt
 one year ago
***WILL MEDAL***
You have two exponential functions. One has the formula h(x) = 2 x + 8. The other function, g(x), has the graph shown below.
https://gordon.owschools.com/media/o_anageo_ccss_2014/8/alg1_9_20_34_exponential.gif
Which inequality below is true on the indicated interval?
A. g(x) ≥ h(x) on the interval 2 ≤ x ≤ 1
B. h(x) ≤ g(x) on the interval 1 ≤ x ≤ 0
C. g(x) ≥ h(x) on the interval 0 ≤ x ≤ 1
D. h(x) ≤ g(x) on the interval 1 ≤ x ≤ 2
Falling_In_Katt
 one year ago
***WILL MEDAL*** You have two exponential functions. One has the formula h(x) = 2 x + 8. The other function, g(x), has the graph shown below. https://gordon.owschools.com/media/o_anageo_ccss_2014/8/alg1_9_20_34_exponential.gif Which inequality below is true on the indicated interval? A. g(x) ≥ h(x) on the interval 2 ≤ x ≤ 1 B. h(x) ≤ g(x) on the interval 1 ≤ x ≤ 0 C. g(x) ≥ h(x) on the interval 0 ≤ x ≤ 1 D. h(x) ≤ g(x) on the interval 1 ≤ x ≤ 2

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Falling_In_Katt
 one year ago
Best ResponseYou've already chosen the best response.0@ChillOut @mathstudent55 @Jadeishere @Elsa213 @welshfella @paki @ParthKohli @uri

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1Because it'll be completely different if it's \(2^{x+8}\)

Falling_In_Katt
 one year ago
Best ResponseYou've already chosen the best response.0i think its the first one

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1All right... So let's find g(x)'s equation. Since we know it is an exponential function, it has the following form: \(a^{x}+z\). For the first and easiest part, we can find z by simply making x=0. This gives z=3, which is the "y intercept".

Falling_In_Katt
 one year ago
Best ResponseYou've already chosen the best response.0My guess is D...?

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1Are you guessing or did ou try to finish it? xD

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1All right, moving on... So to find a, we just make x=1, so we have g(1)=a+3, and since we have the value of g(1), which is 6, we can do the following: \(6=a^{1}+3,a=3\). So we have \(g(x)=3^{x}+3,\)

Falling_In_Katt
 one year ago
Best ResponseYou've already chosen the best response.0This is just confusing me...

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1I'm just finding the equation for g(x). Now I can keep moving on the problem

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1Oh god, I've found an major error. But all right, I'll redo, with the same steps.

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1g(x)=\(a^{x}+z\) g(0)=3, so 1+z= 3, z=2. g(1)=6, so a + 2=6 and a=4 We have \(g(x)=4^{x}+2\)

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1Now we test the options... Just plug in the values in the fuctions and check if the statements are true or false! Can you do that?

Falling_In_Katt
 one year ago
Best ResponseYou've already chosen the best response.0yes! thank you.

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1I'm still here if you get stuck.

Falling_In_Katt
 one year ago
Best ResponseYou've already chosen the best response.0im still getting D

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1All right, let me check, one moment.

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1It seems you're right. g(1) = 6, f(1) = 6 g(2) = 18, f(2) = 4 So g(1)=f(1) and g(2)>f(2).

Falling_In_Katt
 one year ago
Best ResponseYou've already chosen the best response.0Okay thank you

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1No problem. If you need help, just ask.
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