Suppose f is a linear function and f(x) varies at a constant rate of change of 1.5 with respect to x. Suppose we know that f(1.4) = 2.6. a. Suppose x varies from x = 1.4 to x = 1.5... i. How much did a change by? Preview %3D ii. What is the corresponding change in f(x)? Af(æ) : Preview iii. What is the value f(1.5)? f(1.5) = Preview

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 30CR
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Part a

 

Suppose f is a linear function and f(x) varies at a constant rate of change of 1.5 with respect to x. Suppose we
know that f(1.4) = 2.6.
a. Suppose varies from x =
1.4 to x
= 1.5...
i. How much did x change by?
Ax
Preview
ii. What is the corresponding change in f(x)?
Af(x)
Preview
iii. What is the value f(1.5)?
f(1.5) =
Preview
b. Write a function formula for f(x). (Hint: use the same thinking as in (a), but now imagine x varying from
1.4 to any new value of x.)
f(x) =
Preview
Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Box 2: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Box 4: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
Transcribed Image Text:Suppose f is a linear function and f(x) varies at a constant rate of change of 1.5 with respect to x. Suppose we know that f(1.4) = 2.6. a. Suppose varies from x = 1.4 to x = 1.5... i. How much did x change by? Ax Preview ii. What is the corresponding change in f(x)? Af(x) Preview iii. What is the value f(1.5)? f(1.5) = Preview b. Write a function formula for f(x). (Hint: use the same thinking as in (a), but now imagine x varying from 1.4 to any new value of x.) f(x) = Preview Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 2: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 4: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question
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