Question

1. for which function(s) is it true that as x→−∞, y→−∞? (there may be more than one.)

a f(x)
b g(x)
c h(x)
d j(x)
e k(x)

1. projectile martin threw a ball from a height of 4 feet at a speed of 50 feet per second. use the graph that represents the path of the ball to complete the sentence.

as x→−∞, f(x)→ a ∞ b −∞ c 1

Explanation:

Step1: Analyze function f(x)

As \(x\to-\infty\), the line of \(f(x)\) goes down, so \(y\to-\infty\).

Step2: Analyze function g(x)

The function \(g(x)\) is not defined (empty - graph), so it does not satisfy the condition.

Step3: Analyze function h(x)

As \(x\to-\infty\), the graph of \(h(x)\) goes up, so \(y\to\infty\), it does not satisfy the condition.

Step4: Analyze function j(x)

As \(x\to-\infty\), the graph of \(j(x)\) goes down, so \(y\to-\infty\).

Step5: Analyze function k(x)

As \(x\to-\infty\), the graph of \(k(x)\) goes down, so \(y\to-\infty\).

Answer:

A. \(f(x)\)
D. \(j(x)\)
E. \(k(x)\)