Answers: -4, 5
Step-by-step explanation:
[tex]e^{x^{2}}=e^{x}*e^{20}[/tex]
[tex]e^{x^{2}}=e^{x+20}[/tex]
x² = x + 20
x² - x - 20 = 0
(x + 4)(x - 5) = 0
x + 4 = 0 x - 5 = 0
x = -4 x = 5
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Answers:
- a. domain: (-∞,∞)
- b. range: (-∞, 0)
- c. y-intercept: [tex]-\dfrac{1}{8}[/tex]
- d. horizontal asymptote: y = 0
- e. graph: see attachment
Step-by-step explanation:
domain: there are no restrictions on the x-value so x = All Real Numbers
range: since the new graph has a reflection then y < 0
y-intercept is when x = 0:
- y = -2⁰⁻³
- = -2⁻³
- = [tex]-\dfrac{1}{2^{3}}[/tex]
- = [tex]-\dfrac{1}{8}[/tex]
horizontal asymptote: y ≠ 0 so the H.A. is y = 0
graph: The parent graph is: y = 2ˣ
The new graph of y = -2ˣ⁻³ has the following transformations:
- reflection over the x-axis
- horizontal shift 3 units to the right
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graph: see attachment
(0, 0) and (-1/3, 1)
(-1, ∞)
x = -1
