Questions: Use the graph of the function f shown to the right to answer parts (a)-(n). (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) (k) How often does the line y=1 intersect the graph? 3 time(s) (I) How often does the line x=1 intersect the graph? 1 time(s) (m) For what value(s) of x does f(x)=-8 ? x= (Use a comma to separate answers as needed.)

Use the graph of the function f shown to the right to answer parts (a)-(n).
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
(k) How often does the line y=1 intersect the graph?

3 time(s)
(I) How often does the line x=1 intersect the graph?

1 time(s)
(m) For what value(s) of x does f(x)=-8 ?

x=

(Use a comma to separate answers as needed.)
Transcript text: Use the graph of the function f shown to the right to answer parts (a)-(n). (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) (k) How often does the line $y=1$ intersect the graph? 3 time(s) (I) How often does the line $x=1$ intersect the graph? 1 time(s) (m) For what value(s) of $x$ does $f(x)=-8$ ? \[ x= \] (Use a comma to separate answers as needed.)
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Solution

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Solution Steps

Step 1: Find the y-intercept

The y-intercept is the value of y when x = 0. The graph crosses the y-axis at (0, -4).

Step 2: Determine the number of intersections with y = 1

The line y = 1 would be a horizontal line above the x-axis. Observing the graph, it intersects the function at three points.

Step 3: Determine the number of intersections with x = 1

The line x = 1 would be a vertical line. Observing the graph, it intersects the function at one point.

Final Answer:

y = -4, 3 times, 1 time

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