CPM Homework Help : INT3 Problem 1-71

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1-71.

What value of $y$ allows you to determine the $x$ -intercept(s)? For each function, where does its graph intersect the $x$ -axis? Write each answer as an ordered pair.

Answer:

$y = 0$ allows you to find the $x$ -intercept.

$y = 3x + 6$
Step (a):
$0 = 3x + 6$
Answer (a):
$(-2, 0)$

$x = 5y - 10$
Answer (b):
$(-10, 0)$

$y = x^2$

$y = 2x^2 - 4$
Answer (d):
$(\pm \sqrt{2},0)$

$y = (x-5)^2$
Hint (e):
Let $y = 0$ .
Help (e):
Take the square root of both sides of the equation.
More Help (e):
Add $5$ to both sides of the equation.
Answer (e):
$(5, 0)$

$y = x^3 - 13$
Answer (f):
$(\sqrt[3]{13},0)$