What is the range of the exponential function shown below
2 answers:
Answer:
The correct option is C.
Step-by-step explanation:
Range is the set of output or the values of the function.
The given function is
If a exponential function is defined as g(x)=a^x, where a>0, then the value of g(x) is always greater than 0, g(x)>0.
It means,
Multiply both sides by 9.
The value of the function f(x) is always greater than 0, therefore the range of the function is
Range = { y | y>0}
Hence the correct option is C.
Answer : y>0
f(x) = 9*2^x
f(x) is an exponential function
When we plug in positive value for x , the value of y is positive
When we plug in negative value for x , the value y is also positive
So for any value of x, the y value is positive always.
Range is the set of y values for which the function is defined
y values are positive , so range is y >0
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Answer:
The expression that can be used to determine the final cost of the game is
1.06(0.88 y) ⇒ (C)
Step-by-step explanation:
- If the price of an item is discounted, that mean its new price will be less its initial price
- The taxes on item, makes its new price greater than the initial price because tax is add
Let us solve the problem
∵ Ella purchased a game that was on sale for 12% off
→ That means the new price will (100% - 12%) of the initial price
∵ y represented the initial price of the game
→ Multiply y by (100% - 12%) to get the new price
∴ The new price = y (100% - 12%)
∴ The new price = y (88%)
→ Change 88% to normal number by divide it by 100
∴ The new price = y ()
∴ The new price = 0.88 y
∵ The sales tax in her county is 6%
→ That means the final cost will be (100% + 6%) of 0.88 y
∴ The final cost = (100% + 6%) × (0.88 y)
∴ The final cost = 106% × (0.88 y)
→ Change 106% to normal number by divide it by 100
∴ The final cost = × (0.88 y)
∴ The final cost = 1.06(0.88 y)
The expression that can be used to determine the final cost of the game is 1.06(0.88 y)