THE PARENT FUNCTION GRAPHS AND TRANSFORMATIONS!
Mashup Math・2 minutes read
The constant function f(x) = 5 is a horizontal line, the linear function f(x) = x is a diagonal line with a slope of one, and the absolute value function f(x) = |x| remains above the x-axis, starting at zero and moving up to positive infinity.
Insights
- The constant function f(x) = 5 is a horizontal line with a range of 5 and a domain extending from negative to positive infinity.
- The absolute value function f(x) = |x| is always non-negative, starting at zero and moving up to positive infinity, with a domain from negative infinity to positive infinity.
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Recent questions
Define constant function in mathematics?
A function with a fixed output value.
Explain linear function characteristics?
A function with a constant slope and y-intercept.
What is an absolute value function?
A function that returns the distance from zero.
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Summary
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Functions and their graphical representations
- The constant function, f(x) = 5, represents a horizontal line with a domain from negative infinity to positive infinity and a range of 5.
- The linear function, f(x) = x, forms a diagonal line with a slope of one and a y-intercept of zero, having a domain and range from negative infinity to positive infinity.
- The absolute value function, f(x) = |x|, remains above the x-axis with a domain of negative infinity to positive infinity and a range starting at zero and moving up to positive infinity, never negative.
