{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Stitz-Zeager_College_Algebra_e-book

# 3 choose a real number called a test value in each of

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: asing on 5 , ∞ 6 Vertex 5 , 73 is a minimum 6 12 Axis of symmetry x = 5 6 73 12 y 6 5 4 3 2 1 −1 −1 −2 −3 1 2 3 x 152 Linear and Quadratic Functions (h) f (x) = x2 − 1 100 x − 1 = √ 1+ 40001 200 x− 40001 12 200 √ − 40000 1− 40001 200 x-intercepts and y -intercept (0, −1) Domain: (−∞, ∞) 40001 Range: − 40000 , ∞ 1 Decreasing on −∞, 200 1 Increasing on 200 , ∞ 40001 1 Vertex 200 , − 40000 is a minimum8 1 Axis of symmetry x = 200 2. y = |1 − x2 | 7 6 5 4 3 2 1 −2 −1 3. y y 8 1 2 x √ √ 3 − 7 −1 + 7 , , 2 2 √ √ 3 + 7 −1 − 7 , 2 2 7 6 5 4 3 2 1 −2 −1 1 2 x 5. (a) The applied domain is [0, ∞). (d) The height function is this case is s(t) = −4.9t2 + 15t. The vertex of this parabola is approximately (1.53, 11.48) so the maximum height reached by the marble is 11.48 meters. It hits the ground again when t ≈ 3.06 seconds. (e) The revised height function is s(t) = −4.9t2 + 15t + 25 which has zeros at t ≈ −1.20 and t ≈ 4.26. We ignore the negative value and claim that the marble will hit the ground after 4.26 seconds. (f) Shooting down means the initial velocity is neg...
View Full Document

{[ snackBarMessage ]}