Homework Sourse1 Classify as a polynomial a power function or a rational fu
1) Classify as a polynomial, a power function, or a rational function.
y = x^1.4
Polynomial
Power Function
Rational Function
2) Sketch a graph of the function. Find the x and y intercepts.
f(x) = (x - 1)(x + 2)
x-intercepts (0, -2) (0, 1) y-intercept (-2, 0)
x-intercepts (0, -2) (0, 1) y-intercept (0, -2)
x-intercepts (-2, 0) (1, 0) y-intercept (-2, 0)
x-intercepts (-2, 0) (1, 0) y-intercept (0, -2)
3) Classify as a polynomial, a power function, or a rational function.
y = x/(x+1)^2
Polynomial
Power Function
Rational Function
4) Write an equation for the line with the given properties.
Through (2, 5) and (1, -2)
y = (1/7)x + 9
y = (1/7)x - 9
y = 7x + 9
y = 7x - 9
5) Find the equation for the line with the give properties.
Through (5, -2) with slope 1/2.
y = (1/2)x + 1/2
y = (1/2)x - 1/2
y = (-1/2)x + 1/2
y = (-1/2)x - 1/2
y = x^1.4
Polynomial
Power Function
Rational Function
2) Sketch a graph of the function. Find the x and y intercepts.
f(x) = (x - 1)(x + 2)
x-intercepts (0, -2) (0, 1) y-intercept (-2, 0)
x-intercepts (0, -2) (0, 1) y-intercept (0, -2)
x-intercepts (-2, 0) (1, 0) y-intercept (-2, 0)
x-intercepts (-2, 0) (1, 0) y-intercept (0, -2)
3) Classify as a polynomial, a power function, or a rational function.
y = x/(x+1)^2
Polynomial
Power Function
Rational Function
4) Write an equation for the line with the given properties.
Through (2, 5) and (1, -2)
y = (1/7)x + 9
y = (1/7)x - 9
y = 7x + 9
y = 7x - 9
5) Find the equation for the line with the give properties.
Through (5, -2) with slope 1/2.
y = (1/2)x + 1/2
y = (1/2)x - 1/2
y = (-1/2)x + 1/2
y = (-1/2)x - 1/2
Solution
1)Power Function 2)For x intercept y = 0 so we have x = 1 and x = -2 so x intercepts = (-2,0) and (1,0) for y intercept x = 0 so we have y = -2 y intercept = (0,-2) Option no,D) 3)Rational Function 4)y +2 = 7(x -1 ) y = 7x - 9 option D) 5) Option C
