Questions: Use the graph to find (a) the x-intercept(s) and (b) the zero(s) of the function. (a) The x-intercept(s) is/are (-2,0). (Type an ordered pair. Use a comma to separate answers as needed.) (b) The zero(s) of the function is/are x=-2. (Use a comma to separate answers as needed.)

Use the graph to find (a) the x-intercept(s) and (b) the zero(s) of the function. (a) The x-intercept(s) is/are (-2,0). (Type an ordered pair. Use a comma to separate answers as needed.) (b) The zero(s) of the function is/are x=-2. (Use a comma to separate answers as needed.)
Transcript text: Use the graph to find (a) the $x$-intercept(s) and (b) the zero(s) of the function. (a) The $x$-intercept(s) is/are $(-2,0)$. (Type an ordered pair. Use a comma to separate answers as needed.) (b) The zero(s) of the function is/are $x=-2$. (Use a comma to separate answers as needed.)
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the x-intercepts
  • The x-intercepts are the points where the graph crosses the x-axis. These points have a y-coordinate of 0.
Step 2: Read the x-intercepts from the graph
  • From the graph, identify the points where the curve intersects the x-axis. In this case, the graph intersects the x-axis at \( x = -2 \) and \( x = 2 \).
Step 3: Identify the zeros of the function
  • The zeros of the function are the x-values where the function equals zero. These are the same as the x-intercepts.

Final Answer

  • (a) The x-intercepts are \( (-2, 0) \) and \( (2, 0) \).
  • (b) The zeros of the function are \( x = -2 \) and \( x = 2 \).
Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
The field of study concerned with analyzing work methods and establishing time standards is known as Select one: ergonomics job design industrial engineering job analysis job evaluation
failedAnswered
If you have problems falling asleep at night, could be the culprit.
failedAnswered
Life and Health Sciences 70. HIV Infection The time interval between a person's initial infection with HIV and that person's eventual development of AIDS symptoms is an important issue. The method of infection with HIV affects the time interval before AIDS develops. One study of HIV patients who were infected by intravenous drug use found that 17% of the patients had AIDS after 4 years, and 33% had developed the disease after 7 years. The relationship between the time interval and the percentage of patients with AIDS can be modeled accurately with a linear equation. Source: Epidemiologic Review. (a) Write a linear equation y=mt+b that models these data, using the ordered pairs (4,0.17) and (7,0.33). (b) Use your equation from part (a) to predict the number of years before half of these patients will have AIDS.
failedAnswered
In a circle of radius 5 miles, the length of the arc that subtends a central angle of 3 radians is □ miles.
failedAnswered
Use the data provided to calculate price-earnings (PE) ratios and determine which company is financially stronger. Name and Symbol Playgrounds Galore (PGLR) Aqua-Swim, Incorporated (ASI) Closing Price 61.95 52.50 Earnings 5.59 3.04 Aqua-Swim, Incorporated has a higher PE ratio, so it is likely the financially stronger company. Playgrounds Galore has a lower PE ratio, so it is likely the financially stronger company. Playgrounds Galore has a higher PE ratio, so it is likely the financially stronger company. Aqua-Swim, Incorporated has a lower PE ratio, so it is likely the financially stronger company.