College Algebra Questions 2?
1. Determine, algebraically, whether the function is even, odd, or neither even nor odd?
f(x) = x^3 + x^2 - 2

2. Use the given conditions to write an equation for the line in slope-intercept form?
Passing through (-3, -6) and (-5, -7)

3. Find and simplify the difference quotient f(x + h) - f(x)/h, h ≠ 0 for the given function?
f(x) = x^2 + 4x - 7

4. Find the average rate of change of the function from x1 to x2?
f(x) = 2x from x1 = 2 to x2 = 8

Question

College Algebra Questions 2?
1. Determine, algebraically, whether the function is even, odd, or neither even nor odd? 
 f(x) = x^3 + x^2 - 2 

 2. Use the given conditions to write an equation for the line in slope-intercept form? 
 Passing through (-3, -6) and (-5, -7) 

 3. Find and simplify the difference quotient f(x + h) - f(x)/h, h ≠ 0 for the given function? 
 f(x) = x^2 + 4x - 7 

 4. Find the average rate of change of the function from x1 to x2? 
 f(x) = 2x from x1 = 2 to x2 = 8

john_es · Answer

A function is even if,
$$f(-x)=f(x)$$ A function is odd if,
$$f(-x)=-f(x)$$

john_es · Answer

For the second, if you have two points, you can find the slope-intercept,
$$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$$

john_es · Answer

And for the third, the average rate of a function between x_1 and x_2,
$$\Delta f=\frac{f(x_2)-f(x_1)}{x_2-x_1}$$

john_es · Answer

Sorry that was the fourth.