Question

Given f(x) = 2x- 7. complete parts (a) through (c) below. Homework Help

Answer 1

• The value for f(0) is -7

• The value of x for which f(x) = 0 is 3.5

• The answer in part a shows that the y-intercept of graph f(x) is at (0, -7) while part (b) shows  that the x-intercept of the graph f(x) is at (3.5, 0)

Given the function f(x) = 2x - 7

a) To compute f(0), we will simply substitute x = 0 into the given expression as shown;

f(0) = 2(0) - 7

f(0) = 0 - 7

f(0) = -7

Hence the value for f(0) is -7

b) For f(x) = 0

Substitute f(x) = 0 in the expression as shown;

0 = 2x - 7

-2x = -7

x = 7/2

x = 3.5

Hence the value of x for which f(x) = 0 is 3.5

c) The answer in part a shows that the y-intercept of graph f(x) is at (0, -7) while part (b) shows  that the x-intercept of the graph f(x) is at (3.5, 0)

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