Question

h(x) = 4x - 3 Compare the functions, Given f(x) and h(x), as shown above. For which value of x does f(x) have a greater value than h(x)?is has a greater value when x = _____. x = -1 x = 0 x = 1 x = 2

Answer 1

The answer is x=1

Explanation:

The 4 is being raised to the power of x not multiplied by it, so on the graph,x= 1 is equal to 2 but in h(x) it equals 1 because 4 raised to the first power is 4 minus 3 is 1. Hope this helps someone :)

Answer 2

Using the graph:
x f(x)
-1 -6
0 -3
1 2
2 9

h(x) = 4x - 3

h(-1) = 4(-1) - 3 = -4-3 = -7
h(0) = 4(0) - 3 = -3
h(1) = 4(1) - 3 = 4 - 3 = 1
h(2) = 4(2) - 3 = 8 - 3 = 5

For which value of x does f(x) have a greater value than h(x)? f(x) has a greater value than h(x) when x = 2.