14. Determine the constraints a and b such that f(x) is continuous for all values of x. [6 Marks] ax-b x ≤1 f(x) = x-21 -3x, 1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.1: Graphing Quadratic Functions
Problem 4BGP
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14. Determine the constraints a and b such that f(x) is continuous for all values of x. [6 Marks]
ax-b
x ≤1
f(x) =
x-21
-3x,
1<x<2
bx²-a,
X ≥2
Section 4: Application
15. Solve the following limits (if possible): [3 Marks Each]
a) limx05+x
x
1
5
x3-27
b) lim x-3x²
-
9
Transcribed Image Text:14. Determine the constraints a and b such that f(x) is continuous for all values of x. [6 Marks] ax-b x ≤1 f(x) = x-21 -3x, 1<x<2 bx²-a, X ≥2 Section 4: Application 15. Solve the following limits (if possible): [3 Marks Each] a) limx05+x x 1 5 x3-27 b) lim x-3x² - 9
16. Using the limit as h goes to 0, find the slope of each of the following: [4 Marks, 5 Marks]
a) f(x)=-6x2 +7x-3 at x=-2
b) f(x)
x-8
=
at x = 1
2x+5
Transcribed Image Text:16. Using the limit as h goes to 0, find the slope of each of the following: [4 Marks, 5 Marks] a) f(x)=-6x2 +7x-3 at x=-2 b) f(x) x-8 = at x = 1 2x+5
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