QQuestionMathematics
QuestionMathematics
"Calculus
Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.)
r(2$) = x^2 − 16
x^2 x-intercept (smaller x-value) (x, y)=
x-intercept (larger x-value) (x, y)=
y-intercept (x, y)="
6 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1: Find the x-intercepts (set y = 0)
To find the x-intercepts, we need to set y = 0: r(2$) = x^2 - 16 = 0
Step 2: Solve for x
To solve for x, we can factor the equation: x^2 - 16 = (x - 4)(x + 4) = 0 Then, we set each factor equal to zero and solve for x: x - 4 = 0 \Rightarrow x = 4 x + 4 = 0 \Rightarrow x = - 4 So, the x-intercepts are (- 4, 0) and (4, 0).
Final Answer
- x-intercept (smaller x-value): (- 4, 0) - x-intercept (larger x-value): (4, 0) - y-intercept: (0, - 16)
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students