Answer:
y intercept is 6
Step-by-step explanation:
Given:
[tex]f(x) = 2(5^x) + 4[/tex]
Required:
Determine the y intercept
To do this, we simply set x to 0
Substitute 0 for x in [tex]f(x) = 2(5^x) + 4[/tex]
[tex]f(0) = 2(5^0) + 4[/tex]
Evaluate the exponent, [tex]5^0[/tex]
[tex]f(0) = 2(1) + 4[/tex]
Open bracket
[tex]f(0) = 2 + 4[/tex]
[tex]f(0) = 6[/tex]
Hence, the y intercept is 6
