Falling_In_Katt
  • Falling_In_Katt
***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
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Falling_In_Katt
  • Falling_In_Katt
@ChillOut @mathstudent55 @Jadeishere @Elsa213 @welshfella @paki @ParthKohli @uri
Falling_In_Katt
  • Falling_In_Katt
@TheSmartOne
ChillOut
  • ChillOut
Is h(x) \(2^{x}+8\)?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Falling_In_Katt
  • Falling_In_Katt
i think so
ChillOut
  • ChillOut
Because it'll be completely different if it's \(2^{x+8}\)
Falling_In_Katt
  • Falling_In_Katt
i think its the first one
ChillOut
  • ChillOut
All 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
  • Falling_In_Katt
My guess is D...?
ChillOut
  • ChillOut
Are you guessing or did ou try to finish it? xD
ChillOut
  • ChillOut
All 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
  • Falling_In_Katt
This is just confusing me...
ChillOut
  • ChillOut
I'm just finding the equation for g(x). Now I can keep moving on the problem
Falling_In_Katt
  • Falling_In_Katt
okay
ChillOut
  • ChillOut
Oh god, I've found an major error. But all right, I'll redo, with the same steps.
ChillOut
  • ChillOut
g(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
  • ChillOut
Now 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
  • Falling_In_Katt
yes! thank you.
ChillOut
  • ChillOut
No problem!
ChillOut
  • ChillOut
I'm still here if you get stuck.
Falling_In_Katt
  • Falling_In_Katt
im still getting D
ChillOut
  • ChillOut
All right, let me check, one moment.
ChillOut
  • ChillOut
It 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
  • Falling_In_Katt
Okay thank you
ChillOut
  • ChillOut
No problem. If you need help, just ask.
Falling_In_Katt
  • Falling_In_Katt
okay

Looking for something else?

Not the answer you are looking for? Search for more explanations.