Math Problem Statement
f(x)=−(x−5) y coordiante of the y intecerpt of the polynomial function defined below.
Solution
To determine the y-coordinate of the y-intercept of the function , we evaluate at , since the y-intercept occurs where .
Step-by-Step Solution:
- The function is given as:
- Substituting :
- Simplify the expression:
- Therefore:
Final Answer:
The y-coordinate of the y-intercept is 5.
Would you like further clarification or additional examples? Here are some related questions to explore:
- What is the x-coordinate of the x-intercept of this function?
- How do you find intercepts for quadratic functions?
- How does the slope of a linear function like this affect its graph?
- Can you rewrite this function in slope-intercept form?
- How would this function change if the negative sign were removed?
Tip: Always evaluate the y-intercept by substituting into the function!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Intercepts
Formulas
y-intercept: f(0)
Theorems
-
Suitable Grade Level
Grades 6-8