Explain how to graph this exponential function.
1 answer:
Answer:
The domain is -∞ < x < ∞
The range is y > -1
The x-intercept is 0
The y-intercept is 0
Step-by-step explanation:
∵ f(x) = 0.4^x - 1
∴ The domain is all real numbers -∞ < x < ∞
∴ The range of it is y > -1
Note: If the range of f(x) = b^x , where b > 0 and b ≠ 1 is y > 0 ,
If f(x) is shifted down 1 unit (f(x) - 1) , then the range will be y > -1
∵ f(x) = 0 ⇒ 0.4^x - 1 = 0
∴ 0.4^x = 1 ⇒ ∴ x = 0
∴ The x-intercept is 0
∵ f(0) = 0.4^0 - 1 = 1 - 1 = 0
∴ The y-intercept is 0
∴ The graph of f(x) = 0.4^x - 1 passing through the origin point
Table:
x ⇒ f(x)
-2 ⇒ 5.25
-1 ⇒ 1.5
0 ⇒ 0
1 ⇒ -0.6
2 ⇒ -0.84
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