For each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4.

$\text{ƒ}\left(x\right)=x^2-4x+2$

Graph each function. Give the domain and range. See Example 3. g(x)=[[2x-1]]

Write an equation (a) in standard form and (b) in slope-intercept form for each line described. through (-2, -2), parallel to y=3

Let ƒ(x)=-3x+4 and g(x)=-x²+4x+1. Find each of the following. Simplify if necessary. See Example 6. g(1/2)

Determine whether each function is even, odd, or neither. See Example 5. ƒ(x)=-x³+2x

Let ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5.

$(\text{ƒ}\circ g)\left(4\right)$

Write an equation (a) in standard form and (b) in slope-intercept form for each line described. through (4, -4), perpendicular to x=4

Let ƒ(x)=-3x+4 and g(x)=-x^2+4x+1. Find each of the following. Simplify if necessary. See Example 6. g(-1/4)

Determine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x⁵-2x³

Solve each problem. See Example 4. Suppose that the cost of mailing a letter weighing x ounces, where x>0, is ƒ(x)=55-15[[1-x]]cents. What is the cost of mailing a 2.6-ounce letter?

Solve each problem. See Example 4. Suppose that the cost of mailing a letter weighing x ounces, where x>0, is ƒ(x)=55-15[[1-x]]cents. What is the cost for the first ounce?

Let ƒ(x)=-3x+4 and g(x)=-x²+4x+1. Find each of the following. Simplify if necessary. See Example 6. ƒ(p)

Determine whether each function is even, odd, or neither. See Example 5. ƒ(x)=0.5x⁴-2x²+6

Let ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5.

$(\text{ƒ}\circ g)(-2)$

Let ƒ(x)=-3x+4 and g(x)=-x^2+4x+1. Find each of the following. Simplify if necessary. See Example 6. g(k)

Determine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x³-x+9

Let ƒ(x)=-3x+4 and g(x)=-x²+4x+1. Find each of the following. Simplify if necessary. See Example 6. g(-x)

Determine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x⁴-5x+8

For each line described, write an equation in

(a)slope-intercept form, if possible, and

(b)standard form.

through $(-2,4)$ and $(1,3)$

Let ƒ(x)=-3x+4 and g(x)=-x²+4x+1. Find each of the following. Simplify if necessary. See Example 6. ƒ(x+2)

Determine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x+1/x⁵

Let ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5.

$(\text{ƒ}\circ \text{ƒ})\left(2\right)$

Let ƒ(x)=-3x+4 and g(x)=-x^2+4x+1. Find each of the following. Simplify if necessary. See Example 6. ƒ(a+4)

Determine whether each function is even, odd, or neither. See Example 5. ƒ(x)=x^4+4/x²

Let ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5.

$(g\circ g)(-2)$

For each line described, write an equation in

(a)slope-intercept form, if possible, and

(b)standard form.

through $(2,-10)$, perpendicular to a line with undefined slope.

Let ƒ(x)=-3x+4 and g(x)=-x²+4x+1. Find each of the following. Simplify if necessary. See Example 6. ƒ(2m-3)

Let ƒ(x)=-3x+4 and g(x)=-x²+4x+1. Find each of the following. Simplify if necessary. See Example 6. ƒ(3t-2)

For each line described, write an equation in

(a)slope-intercept form, if possible, and

(b)standard form.

through $(0,5)$, perpendicular to $8x+5y=3$